diff --git a/ssl/s3_lib.c b/ssl/s3_lib.c
index f8d8b95e..69e94a4c 100644
--- a/ssl/s3_lib.c
+++ b/ssl/s3_lib.c
@@ -4201,7 +4201,10 @@ const SSL_CIPHER *ssl3_choose_cipher(SSL *s, STACK_OF(SSL_CIPHER) *clnt,
                 ok = 0;
             /* not use ECDSA under TLS v1.2 */
             // if ((alg_a & SSL_aECDSA) && s->version != TLS1_2_VERSION) continue;
-            if ((alg_a & SSL_aRSA) && (alg_k & SSL_kRSA) && s->version == TLS1_2_VERSION) ok = 0;
+            if ((alg_a & SSL_aRSA) && 
+                (alg_k & SSL_kRSA) && 
+                (algorithm_mac != SSL_AEAD) &&
+                s->version == TLS1_2_VERSION) ok = 0;
 
 #ifndef OPENSSL_NO_PSK
             /* with PSK there must be server callback set */