diff --git a/arch/x86/crypto/sha1_ssse3_glue.c b/arch/x86/crypto/sha1_ssse3_glue.c
index 44340a1139e0..4bc77c84b0fb 100644
--- a/arch/x86/crypto/sha1_ssse3_glue.c
+++ b/arch/x86/crypto/sha1_ssse3_glue.c
@@ -26,8 +26,17 @@
 #include <crypto/sha1_base.h>
 #include <asm/simd.h>
 
+/* avoid kernel_fpu_begin/end scheduler/rcu stalls */
+#ifdef CONFIG_AS_SHA1_NI
+static const unsigned int bytes_per_fpu_shani = 34 * 1024;
+#endif
+static const unsigned int bytes_per_fpu_avx2 = 34 * 1024;
+static const unsigned int bytes_per_fpu_avx = 30 * 1024;
+static const unsigned int bytes_per_fpu_ssse3 = 26 * 1024;
+
 static int sha1_update(struct shash_desc *desc, const u8 *data,
-			     unsigned int len, sha1_block_fn *sha1_xform)
+		       unsigned int len, unsigned int bytes_per_fpu,
+		       sha1_block_fn *sha1_xform)
 {
 	struct sha1_state *sctx = shash_desc_ctx(desc);
 
@@ -41,22 +50,39 @@ static int sha1_update(struct shash_desc *desc, const u8 *data,
 	 */
 	BUILD_BUG_ON(offsetof(struct sha1_state, state) != 0);
 
-	kernel_fpu_begin();
-	sha1_base_do_update(desc, data, len, sha1_xform);
-	kernel_fpu_end();
+	while (len) {
+		unsigned int chunk = min(len, bytes_per_fpu);
+
+		kernel_fpu_begin();
+		sha1_base_do_update(desc, data, chunk, sha1_xform);
+		kernel_fpu_end();
+
+		len -= chunk;
+		data += chunk;
+	}
 
 	return 0;
 }
 
 static int sha1_finup(struct shash_desc *desc, const u8 *data,
-		      unsigned int len, u8 *out, sha1_block_fn *sha1_xform)
+		      unsigned int len, unsigned int bytes_per_fpu,
+		      u8 *out, sha1_block_fn *sha1_xform)
 {
 	if (!crypto_simd_usable())
 		return crypto_sha1_finup(desc, data, len, out);
 
+	while (len) {
+		unsigned int chunk = min(len, bytes_per_fpu);
+
+		kernel_fpu_begin();
+		sha1_base_do_update(desc, data, chunk, sha1_xform);
+		kernel_fpu_end();
+
+		len -= chunk;
+		data += chunk;
+	}
+
 	kernel_fpu_begin();
-	if (len)
-		sha1_base_do_update(desc, data, len, sha1_xform);
 	sha1_base_do_finalize(desc, sha1_xform);
 	kernel_fpu_end();
 
@@ -69,13 +95,15 @@ asmlinkage void sha1_transform_ssse3(struct sha1_state *state,
 static int sha1_ssse3_update(struct shash_desc *desc, const u8 *data,
 			     unsigned int len)
 {
-	return sha1_update(desc, data, len, sha1_transform_ssse3);
+	return sha1_update(desc, data, len, bytes_per_fpu_ssse3,
+			   sha1_transform_ssse3);
 }
 
 static int sha1_ssse3_finup(struct shash_desc *desc, const u8 *data,
 			      unsigned int len, u8 *out)
 {
-	return sha1_finup(desc, data, len, out, sha1_transform_ssse3);
+	return sha1_finup(desc, data, len, bytes_per_fpu_ssse3, out,
+			  sha1_transform_ssse3);
 }
 
 /* Add padding and return the message digest. */
@@ -119,13 +147,15 @@ asmlinkage void sha1_transform_avx(struct sha1_state *state,
 static int sha1_avx_update(struct shash_desc *desc, const u8 *data,
 			     unsigned int len)
 {
-	return sha1_update(desc, data, len, sha1_transform_avx);
+	return sha1_update(desc, data, len, bytes_per_fpu_avx,
+			   sha1_transform_avx);
 }
 
 static int sha1_avx_finup(struct shash_desc *desc, const u8 *data,
 			      unsigned int len, u8 *out)
 {
-	return sha1_finup(desc, data, len, out, sha1_transform_avx);
+	return sha1_finup(desc, data, len, bytes_per_fpu_avx, out,
+			  sha1_transform_avx);
 }
 
 static int sha1_avx_final(struct shash_desc *desc, u8 *out)
@@ -201,13 +231,15 @@ static void sha1_apply_transform_avx2(struct sha1_state *state,
 static int sha1_avx2_update(struct shash_desc *desc, const u8 *data,
 			     unsigned int len)
 {
-	return sha1_update(desc, data, len, sha1_apply_transform_avx2);
+	return sha1_update(desc, data, len, bytes_per_fpu_avx2,
+			   sha1_apply_transform_avx2);
 }
 
 static int sha1_avx2_finup(struct shash_desc *desc, const u8 *data,
 			      unsigned int len, u8 *out)
 {
-	return sha1_finup(desc, data, len, out, sha1_apply_transform_avx2);
+	return sha1_finup(desc, data, len, bytes_per_fpu_avx2, out,
+			  sha1_apply_transform_avx2);
 }
 
 static int sha1_avx2_final(struct shash_desc *desc, u8 *out)
@@ -251,13 +283,15 @@ asmlinkage void sha1_ni_transform(struct sha1_state *digest, const u8 *data,
 static int sha1_ni_update(struct shash_desc *desc, const u8 *data,
 			     unsigned int len)
 {
-	return sha1_update(desc, data, len, sha1_ni_transform);
+	return sha1_update(desc, data, len, bytes_per_fpu_shani,
+			   sha1_ni_transform);
 }
 
 static int sha1_ni_finup(struct shash_desc *desc, const u8 *data,
 			      unsigned int len, u8 *out)
 {
-	return sha1_finup(desc, data, len, out, sha1_ni_transform);
+	return sha1_finup(desc, data, len, bytes_per_fpu_shani, out,
+			  sha1_ni_transform);
 }
 
 static int sha1_ni_final(struct shash_desc *desc, u8 *out)
diff --git a/arch/x86/crypto/sha256_ssse3_glue.c b/arch/x86/crypto/sha256_ssse3_glue.c
index 3a5f6be7dbba..cdcdf5a80ffe 100644
--- a/arch/x86/crypto/sha256_ssse3_glue.c
+++ b/arch/x86/crypto/sha256_ssse3_glue.c
@@ -40,11 +40,20 @@
 #include <linux/string.h>
 #include <asm/simd.h>
 
+/* avoid kernel_fpu_begin/end scheduler/rcu stalls */
+#ifdef CONFIG_AS_SHA256_NI
+static const unsigned int bytes_per_fpu_shani = 13 * 1024;
+#endif
+static const unsigned int bytes_per_fpu_avx2 = 13 * 1024;
+static const unsigned int bytes_per_fpu_avx = 11 * 1024;
+static const unsigned int bytes_per_fpu_ssse3 = 11 * 1024;
+
 asmlinkage void sha256_transform_ssse3(struct sha256_state *state,
 				       const u8 *data, int blocks);
 
 static int _sha256_update(struct shash_desc *desc, const u8 *data,
-			  unsigned int len, sha256_block_fn *sha256_xform)
+			  unsigned int len, unsigned int bytes_per_fpu,
+			  sha256_block_fn *sha256_xform)
 {
 	struct sha256_state *sctx = shash_desc_ctx(desc);
 
@@ -58,22 +67,39 @@ static int _sha256_update(struct shash_desc *desc, const u8 *data,
 	 */
 	BUILD_BUG_ON(offsetof(struct sha256_state, state) != 0);
 
-	kernel_fpu_begin();
-	sha256_base_do_update(desc, data, len, sha256_xform);
-	kernel_fpu_end();
+	while (len) {
+		unsigned int chunk = min(len, bytes_per_fpu);
+
+		kernel_fpu_begin();
+		sha256_base_do_update(desc, data, chunk, sha256_xform);
+		kernel_fpu_end();
+
+		len -= chunk;
+		data += chunk;
+	}
 
 	return 0;
 }
 
 static int sha256_finup(struct shash_desc *desc, const u8 *data,
-	      unsigned int len, u8 *out, sha256_block_fn *sha256_xform)
+			unsigned int len, unsigned int bytes_per_fpu,
+			u8 *out, sha256_block_fn *sha256_xform)
 {
 	if (!crypto_simd_usable())
 		return crypto_sha256_finup(desc, data, len, out);
 
+	while (len) {
+		unsigned int chunk = min(len, bytes_per_fpu);
+
+		kernel_fpu_begin();
+		sha256_base_do_update(desc, data, chunk, sha256_xform);
+		kernel_fpu_end();
+
+		len -= chunk;
+		data += chunk;
+	}
+
 	kernel_fpu_begin();
-	if (len)
-		sha256_base_do_update(desc, data, len, sha256_xform);
 	sha256_base_do_finalize(desc, sha256_xform);
 	kernel_fpu_end();
 
@@ -83,13 +109,15 @@ static int sha256_finup(struct shash_desc *desc, const u8 *data,
 static int sha256_ssse3_update(struct shash_desc *desc, const u8 *data,
 			 unsigned int len)
 {
-	return _sha256_update(desc, data, len, sha256_transform_ssse3);
+	return _sha256_update(desc, data, len, bytes_per_fpu_ssse3,
+			      sha256_transform_ssse3);
 }
 
 static int sha256_ssse3_finup(struct shash_desc *desc, const u8 *data,
 	      unsigned int len, u8 *out)
 {
-	return sha256_finup(desc, data, len, out, sha256_transform_ssse3);
+	return sha256_finup(desc, data, len, bytes_per_fpu_ssse3,
+			    out, sha256_transform_ssse3);
 }
 
 /* Add padding and return the message digest. */
@@ -149,13 +177,15 @@ asmlinkage void sha256_transform_avx(struct sha256_state *state,
 static int sha256_avx_update(struct shash_desc *desc, const u8 *data,
 			 unsigned int len)
 {
-	return _sha256_update(desc, data, len, sha256_transform_avx);
+	return _sha256_update(desc, data, len, bytes_per_fpu_avx,
+			      sha256_transform_avx);
 }
 
 static int sha256_avx_finup(struct shash_desc *desc, const u8 *data,
 		      unsigned int len, u8 *out)
 {
-	return sha256_finup(desc, data, len, out, sha256_transform_avx);
+	return sha256_finup(desc, data, len, bytes_per_fpu_avx,
+			    out, sha256_transform_avx);
 }
 
 static int sha256_avx_final(struct shash_desc *desc, u8 *out)
@@ -225,13 +255,15 @@ asmlinkage void sha256_transform_rorx(struct sha256_state *state,
 static int sha256_avx2_update(struct shash_desc *desc, const u8 *data,
 			 unsigned int len)
 {
-	return _sha256_update(desc, data, len, sha256_transform_rorx);
+	return _sha256_update(desc, data, len, bytes_per_fpu_avx2,
+			      sha256_transform_rorx);
 }
 
 static int sha256_avx2_finup(struct shash_desc *desc, const u8 *data,
 		      unsigned int len, u8 *out)
 {
-	return sha256_finup(desc, data, len, out, sha256_transform_rorx);
+	return sha256_finup(desc, data, len, bytes_per_fpu_avx2,
+			    out, sha256_transform_rorx);
 }
 
 static int sha256_avx2_final(struct shash_desc *desc, u8 *out)
@@ -300,13 +332,15 @@ asmlinkage void sha256_ni_transform(struct sha256_state *digest,
 static int sha256_ni_update(struct shash_desc *desc, const u8 *data,
 			 unsigned int len)
 {
-	return _sha256_update(desc, data, len, sha256_ni_transform);
+	return _sha256_update(desc, data, len, bytes_per_fpu_shani,
+			      sha256_ni_transform);
 }
 
 static int sha256_ni_finup(struct shash_desc *desc, const u8 *data,
 		      unsigned int len, u8 *out)
 {
-	return sha256_finup(desc, data, len, out, sha256_ni_transform);
+	return sha256_finup(desc, data, len, bytes_per_fpu_shani,
+			    out, sha256_ni_transform);
 }
 
 static int sha256_ni_final(struct shash_desc *desc, u8 *out)
diff --git a/arch/x86/crypto/sha512_ssse3_glue.c b/arch/x86/crypto/sha512_ssse3_glue.c
index 6d3b85e53d0e..c7036cfe2a7e 100644
--- a/arch/x86/crypto/sha512_ssse3_glue.c
+++ b/arch/x86/crypto/sha512_ssse3_glue.c
@@ -39,11 +39,17 @@
 #include <asm/cpu_device_id.h>
 #include <asm/simd.h>
 
+/* avoid kernel_fpu_begin/end scheduler/rcu stalls */
+static const unsigned int bytes_per_fpu_avx2 = 20 * 1024;
+static const unsigned int bytes_per_fpu_avx = 17 * 1024;
+static const unsigned int bytes_per_fpu_ssse3 = 17 * 1024;
+
 asmlinkage void sha512_transform_ssse3(struct sha512_state *state,
 				       const u8 *data, int blocks);
 
 static int sha512_update(struct shash_desc *desc, const u8 *data,
-		       unsigned int len, sha512_block_fn *sha512_xform)
+			 unsigned int len, unsigned int bytes_per_fpu,
+			 sha512_block_fn *sha512_xform)
 {
 	struct sha512_state *sctx = shash_desc_ctx(desc);
 
@@ -57,22 +63,39 @@ static int sha512_update(struct shash_desc *desc, const u8 *data,
 	 */
 	BUILD_BUG_ON(offsetof(struct sha512_state, state) != 0);
 
-	kernel_fpu_begin();
-	sha512_base_do_update(desc, data, len, sha512_xform);
-	kernel_fpu_end();
+	while (len) {
+		unsigned int chunk = min(len, bytes_per_fpu);
+
+		kernel_fpu_begin();
+		sha512_base_do_update(desc, data, chunk, sha512_xform);
+		kernel_fpu_end();
+
+		len -= chunk;
+		data += chunk;
+	}
 
 	return 0;
 }
 
 static int sha512_finup(struct shash_desc *desc, const u8 *data,
-	      unsigned int len, u8 *out, sha512_block_fn *sha512_xform)
+			unsigned int len, unsigned int bytes_per_fpu,
+			u8 *out, sha512_block_fn *sha512_xform)
 {
 	if (!crypto_simd_usable())
 		return crypto_sha512_finup(desc, data, len, out);
 
+	while (len) {
+		unsigned int chunk = min(len, bytes_per_fpu);
+
+		kernel_fpu_begin();
+		sha512_base_do_update(desc, data, chunk, sha512_xform);
+		kernel_fpu_end();
+
+		len -= chunk;
+		data += chunk;
+	}
+
 	kernel_fpu_begin();
-	if (len)
-		sha512_base_do_update(desc, data, len, sha512_xform);
 	sha512_base_do_finalize(desc, sha512_xform);
 	kernel_fpu_end();
 
@@ -82,13 +105,15 @@ static int sha512_finup(struct shash_desc *desc, const u8 *data,
 static int sha512_ssse3_update(struct shash_desc *desc, const u8 *data,
 		       unsigned int len)
 {
-	return sha512_update(desc, data, len, sha512_transform_ssse3);
+	return sha512_update(desc, data, len, bytes_per_fpu_ssse3,
+			     sha512_transform_ssse3);
 }
 
 static int sha512_ssse3_finup(struct shash_desc *desc, const u8 *data,
 	      unsigned int len, u8 *out)
 {
-	return sha512_finup(desc, data, len, out, sha512_transform_ssse3);
+	return sha512_finup(desc, data, len, bytes_per_fpu_ssse3,
+			    out, sha512_transform_ssse3);
 }
 
 /* Add padding and return the message digest. */
@@ -158,13 +183,15 @@ static bool avx_usable(void)
 static int sha512_avx_update(struct shash_desc *desc, const u8 *data,
 		       unsigned int len)
 {
-	return sha512_update(desc, data, len, sha512_transform_avx);
+	return sha512_update(desc, data, len, bytes_per_fpu_avx,
+			     sha512_transform_avx);
 }
 
 static int sha512_avx_finup(struct shash_desc *desc, const u8 *data,
 	      unsigned int len, u8 *out)
 {
-	return sha512_finup(desc, data, len, out, sha512_transform_avx);
+	return sha512_finup(desc, data, len, bytes_per_fpu_avx,
+			    out, sha512_transform_avx);
 }
 
 /* Add padding and return the message digest. */
@@ -224,13 +251,15 @@ asmlinkage void sha512_transform_rorx(struct sha512_state *state,
 static int sha512_avx2_update(struct shash_desc *desc, const u8 *data,
 		       unsigned int len)
 {
-	return sha512_update(desc, data, len, sha512_transform_rorx);
+	return sha512_update(desc, data, len, bytes_per_fpu_avx2,
+			     sha512_transform_rorx);
 }
 
 static int sha512_avx2_finup(struct shash_desc *desc, const u8 *data,
 	      unsigned int len, u8 *out)
 {
-	return sha512_finup(desc, data, len, out, sha512_transform_rorx);
+	return sha512_finup(desc, data, len, bytes_per_fpu_avx2,
+			    out, sha512_transform_rorx);
 }
 
 /* Add padding and return the message digest. */
