diff --git a/arch/x86/crypto/poly1305_glue.c b/arch/x86/crypto/poly1305_glue.c
index b43b93c..a5b3a05 100644
--- a/arch/x86/crypto/poly1305_glue.c
+++ b/arch/x86/crypto/poly1305_glue.c
@@ -34,6 +34,24 @@ static void poly1305_simd_mult(u32 *a, const u32 *b)
 	poly1305_block_sse2(a, m, b, 1);
 }
 
+static unsigned int poly1305_scalar_blocks(struct poly1305_desc_ctx *dctx,
+					   const u8 *src, unsigned int srclen)
+{
+	unsigned int datalen;
+
+	if (unlikely(!dctx->sset)) {
+		datalen = crypto_poly1305_setdesckey(dctx, src, srclen);
+		src += srclen - datalen;
+		srclen = datalen;
+	}
+	if (srclen >= POLY1305_BLOCK_SIZE) {
+		poly1305_core_blocks(&dctx->h, dctx->r, src,
+				     srclen / POLY1305_BLOCK_SIZE, 1);
+		srclen %= POLY1305_BLOCK_SIZE;
+	}
+	return srclen;
+}
+
 static unsigned int poly1305_simd_blocks(struct poly1305_desc_ctx *dctx,
 					 const u8 *src, unsigned int srclen)
 {
@@ -91,12 +109,6 @@ static int poly1305_simd_update(struct shash_desc *desc,
 	struct poly1305_desc_ctx *dctx = shash_desc_ctx(desc);
 	unsigned int bytes;
 
-	/* kernel_fpu_begin/end is costly, use fallback for small updates */
-	if (srclen <= 288 || !crypto_simd_usable())
-		return crypto_poly1305_update(desc, src, srclen);
-
-	kernel_fpu_begin();
-
 	if (unlikely(dctx->buflen)) {
 		bytes = min(srclen, POLY1305_BLOCK_SIZE - dctx->buflen);
 		memcpy(dctx->buf + dctx->buflen, src, bytes);
@@ -105,25 +117,57 @@ static int poly1305_simd_update(struct shash_desc *desc,
 		dctx->buflen += bytes;
 
 		if (dctx->buflen == POLY1305_BLOCK_SIZE) {
-			poly1305_simd_blocks(dctx, dctx->buf,
-					     POLY1305_BLOCK_SIZE);
+			if (likely(crypto_simd_usable())) {
+				kernel_fpu_begin();
+				poly1305_simd_blocks(dctx, dctx->buf,
+						     POLY1305_BLOCK_SIZE);
+				kernel_fpu_end();
+			} else {
+				poly1305_scalar_blocks(dctx, dctx->buf,
+						       POLY1305_BLOCK_SIZE);
+			}
 			dctx->buflen = 0;
 		}
 	}
 
 	if (likely(srclen >= POLY1305_BLOCK_SIZE)) {
-		bytes = poly1305_simd_blocks(dctx, src, srclen);
+		if (likely(crypto_simd_usable())) {
+			kernel_fpu_begin();
+			bytes = poly1305_simd_blocks(dctx, src, srclen);
+			kernel_fpu_end();
+		} else {
+			bytes = poly1305_scalar_blocks(dctx, src, srclen);
+		}
 		src += srclen - bytes;
 		srclen = bytes;
 	}
 
-	kernel_fpu_end();
-
 	if (unlikely(srclen)) {
 		dctx->buflen = srclen;
 		memcpy(dctx->buf, src, srclen);
 	}
+}
 
+static int crypto_poly1305_init(struct shash_desc *desc)
+{
+	struct poly1305_desc_ctx *dctx = shash_desc_ctx(desc);
+
+	poly1305_core_init(&dctx->h);
+	dctx->buflen = 0;
+	dctx->rset = 0;
+	dctx->sset = false;
+
+	return 0;
+}
+
+static int crypto_poly1305_final(struct shash_desc *desc, u8 *dst)
+{
+	struct poly1305_desc_ctx *dctx = shash_desc_ctx(desc);
+
+	if (unlikely(!dctx->sset))
+		return -ENOKEY;
+
+	poly1305_final_generic(dctx, dst);
 	return 0;
 }
 
diff --git a/crypto/Kconfig b/crypto/Kconfig
index 362dd6a..2c7327a 100644
--- a/crypto/Kconfig
+++ b/crypto/Kconfig
@@ -714,7 +714,7 @@
 config CRYPTO_POLY1305_X86_64
 	tristate "Poly1305 authenticator algorithm (x86_64/SSE2/AVX2)"
 	depends on X86 && 64BIT
-	select CRYPTO_POLY1305
+	select CRYPTO_LIB_POLY1305_GENERIC
 	help
 	  Poly1305 authenticator algorithm, RFC7539.
 
diff --git a/crypto/poly1305_generic.c b/crypto/poly1305_generic.c
index afe9a9e..21edbd8c 100644
--- a/crypto/poly1305_generic.c
+++ b/crypto/poly1305_generic.c
@@ -19,7 +19,7 @@
 #include <linux/module.h>
 #include <asm/unaligned.h>
 
-int crypto_poly1305_init(struct shash_desc *desc)
+static int crypto_poly1305_init(struct shash_desc *desc)
 {
 	struct poly1305_desc_ctx *dctx = shash_desc_ctx(desc);
 
@@ -30,7 +30,6 @@ int crypto_poly1305_init(struct shash_desc *desc)
 
 	return 0;
 }
-EXPORT_SYMBOL_GPL(crypto_poly1305_init);
 
 static void poly1305_blocks(struct poly1305_desc_ctx *dctx, const u8 *src,
 			    unsigned int srclen)
@@ -47,8 +46,8 @@ static void poly1305_blocks(struct poly1305_desc_ctx *dctx, const u8 *src,
 			     srclen / POLY1305_BLOCK_SIZE, 1);
 }
 
-int crypto_poly1305_update(struct shash_desc *desc,
-			   const u8 *src, unsigned int srclen)
+static int crypto_poly1305_update(struct shash_desc *desc,
+				  const u8 *src, unsigned int srclen)
 {
 	struct poly1305_desc_ctx *dctx = shash_desc_ctx(desc);
 	unsigned int bytes;
@@ -80,9 +79,8 @@ int crypto_poly1305_update(struct shash_desc *desc,
 
 	return 0;
 }
-EXPORT_SYMBOL_GPL(crypto_poly1305_update);
 
-int crypto_poly1305_final(struct shash_desc *desc, u8 *dst)
+static int crypto_poly1305_final(struct shash_desc *desc, u8 *dst)
 {
 	struct poly1305_desc_ctx *dctx = shash_desc_ctx(desc);
 
@@ -92,7 +90,6 @@ int crypto_poly1305_final(struct shash_desc *desc, u8 *dst)
 	poly1305_final_generic(dctx, dst);
 	return 0;
 }
-EXPORT_SYMBOL_GPL(crypto_poly1305_final);
 
 static struct shash_alg poly1305_alg = {
 	.digestsize	= POLY1305_DIGEST_SIZE,
diff --git a/include/crypto/internal/poly1305.h b/include/crypto/internal/poly1305.h
index 04fa269..479b0ca 100644
--- a/include/crypto/internal/poly1305.h
+++ b/include/crypto/internal/poly1305.h
@@ -10,8 +10,6 @@
 #include <linux/types.h>
 #include <crypto/poly1305.h>
 
-struct shash_desc;
-
 /*
  * Poly1305 core functions.  These implement the ε-almost-∆-universal hash
  * function underlying the Poly1305 MAC, i.e. they don't add an encrypted nonce
@@ -28,13 +26,6 @@ void poly1305_core_blocks(struct poly1305_state *state,
 			  unsigned int nblocks, u32 hibit);
 void poly1305_core_emit(const struct poly1305_state *state, void *dst);
 
-/* Crypto API helper functions for the Poly1305 MAC */
-int crypto_poly1305_init(struct shash_desc *desc);
-
-int crypto_poly1305_update(struct shash_desc *desc,
-			   const u8 *src, unsigned int srclen);
-int crypto_poly1305_final(struct shash_desc *desc, u8 *dst);
-
 /*
  * Poly1305 requires a unique key for each tag, which implies that we can't set
  * it on the tfm that gets accessed by multiple users simultaneously. Instead we