diff --git a/library/cmac.c b/library/cmac.c
index cd3bd3a..c4f0b54 100644
--- a/library/cmac.c
+++ b/library/cmac.c
@@ -224,6 +224,10 @@
     block_size = mbedtls_cipher_info_get_block_size(ctx->cipher_info);
     state = ctx->cmac_ctx->state;
 
+    /* Without the MBEDTLS_ASSUME below, gcc -O3 will generate a warning of the form
+     * error: writing 16 bytes into a region of size 0 [-Werror=stringop-overflow=] */
+    MBEDTLS_ASSUME(block_size <= MBEDTLS_CMAC_MAX_BLOCK_SIZE);
+
     /* Is there data still to process from the last call, that's greater in
      * size than a block? */
     if (cmac_ctx->unprocessed_len > 0 &&
@@ -291,6 +295,7 @@
 
     cmac_ctx = ctx->cmac_ctx;
     block_size = mbedtls_cipher_info_get_block_size(ctx->cipher_info);
+    MBEDTLS_ASSUME(block_size <= MBEDTLS_CMAC_MAX_BLOCK_SIZE); // silence GCC warning
     state = cmac_ctx->state;
 
     mbedtls_platform_zeroize(K1, sizeof(K1));
diff --git a/library/gcm.c b/library/gcm.c
index 90c1d1d..976d6d7 100644
--- a/library/gcm.c
+++ b/library/gcm.c
@@ -412,8 +412,17 @@
         while (iv_len > 0) {
             use_len = (iv_len < 16) ? iv_len : 16;
 
+#if defined(MBEDTLS_COMPILER_IS_GCC)
+#pragma GCC diagnostic push
+#pragma GCC diagnostic warning "-Wstringop-overflow=0"
+#endif
+
             mbedtls_xor(ctx->y, ctx->y, p, use_len);
 
+#if defined(MBEDTLS_COMPILER_IS_GCC)
+#pragma GCC diagnostic pop
+#endif
+
             gcm_mult(ctx, ctx->y, ctx->y);
 
             iv_len -= use_len;