diff --git a/src/internal.c b/src/internal.c
index eb990b128..128de8947 100644
--- a/src/internal.c
+++ b/src/internal.c
@@ -27390,7 +27390,40 @@ static byte MinHashAlgo(WOLFSSL* ssl)
     return sha_mac;
 }
 
-int PickHashSigAlgo(WOLFSSL* ssl, const byte* hashSigAlgo, word32 hashSigAlgoSz)
+/* Check if a given peer hashSigAlgo is supported in our ssl->suites or
+ * ssl->ctx->suites.
+ *
+ * Returns 1 on match.
+ * Returns 0 otherwise.
+ * */
+static int SupportedHashSigAlgo(WOLFSSL* ssl, const byte * hashSigAlgo)
+{
+    const Suites * suites = NULL;
+    word32         i = 0;
+
+    if (ssl == NULL || hashSigAlgo == NULL) {
+        return 0;
+    }
+
+    suites = WOLFSSL_SUITES(ssl);
+
+    if (suites == NULL || suites->hashSigAlgoSz == 0) {
+        return 0;
+    }
+
+    for (i = 0; (i+1) < suites->hashSigAlgoSz; i += HELLO_EXT_SIGALGO_SZ) {
+        if (XMEMCMP(&suites->hashSigAlgo[i], hashSigAlgo,
+                    HELLO_EXT_SIGALGO_SZ) == 0) {
+            /* Match found. */
+            return 1;
+        }
+    }
+
+    return 0;
+}
+
+int PickHashSigAlgo(WOLFSSL* ssl, const byte* hashSigAlgo, word32 hashSigAlgoSz,
+                    int matchSuites)
 {
     word32 i;
     int ret = WC_NO_ERR_TRACE(MATCH_SUITE_ERROR);
@@ -27431,6 +27464,14 @@ int PickHashSigAlgo(WOLFSSL* ssl, const byte* hashSigAlgo, word32 hashSigAlgoSz)
         if (!MatchSigAlgo(ssl, sigAlgo))
             continue;
 
+        if (matchSuites) {
+            /* Keep looking if peer algorithm isn't supported in our ssl->suites
+             * or ssl->ctx->suites. */
+            if (!SupportedHashSigAlgo(ssl, &hashSigAlgo[i])) {
+                continue;
+            }
+        }
+
     #ifdef HAVE_ED25519
         if (ssl->pkCurveOID == ECC_ED25519_OID) {
             /* Matched Ed25519 - set chosen and finished. */
@@ -30051,7 +30092,7 @@ static int HashSkeData(WOLFSSL* ssl, enum wc_HashType hashType,
             if ((len > size) || ((*inOutIdx - begin) + len > size))
                 return BUFFER_ERROR;
 
-            if (PickHashSigAlgo(ssl, input + *inOutIdx, len) != 0 &&
+            if (PickHashSigAlgo(ssl, input + *inOutIdx, len, 0) != 0 &&
                                              ssl->buffers.certificate &&
                                              ssl->buffers.certificate->buffer) {
             #ifdef HAVE_PK_CALLBACKS
@@ -31086,6 +31127,15 @@ static int DoServerKeyExchange(WOLFSSL* ssl, const byte* input,
                             ERROR_OUT(BUFFER_ERROR, exit_dske);
                         }
 
+                        /* Check if hashSigAlgo in Server Key Exchange is supported
+                         * in our ssl->suites or ssl->ctx->suites. */
+                        if (!SupportedHashSigAlgo(ssl, &input[args->idx])) {
+                        #ifdef WOLFSSL_EXTRA_ALERTS
+                            SendAlert(ssl, alert_fatal, handshake_failure);
+                        #endif
+                            ERROR_OUT(MATCH_SUITE_ERROR, exit_dske);
+                        }
+
                         DecodeSigAlg(&input[args->idx], &ssl->options.peerHashAlgo,
                                      &sigAlgo);
                     #ifndef NO_RSA
@@ -35937,7 +35987,7 @@ static int DoSessionTicket(WOLFSSL* ssl, const byte* input, word32* inOutIdx,
         if (ret != 0)
             return ret;
         ret = PickHashSigAlgo(ssl, peerSuites->hashSigAlgo,
-                                         peerSuites->hashSigAlgoSz);
+                              peerSuites->hashSigAlgoSz, 1);
         if (ret != 0)
             return ret;
 
@@ -36300,7 +36350,7 @@ static int DoSessionTicket(WOLFSSL* ssl, const byte* input, word32* inOutIdx,
                 ret = SetCipherSpecs(ssl);
                 if (ret == 0) {
                     ret = PickHashSigAlgo(ssl, clSuites->hashSigAlgo,
-                                               clSuites->hashSigAlgoSz);
+                                          clSuites->hashSigAlgoSz, 0);
                 }
             }
             else if (ret == 0) {
diff --git a/src/tls13.c b/src/tls13.c
index 297e250c3..ef37c29ab 100644
--- a/src/tls13.c
+++ b/src/tls13.c
@@ -5740,7 +5740,7 @@ static int DoTls13CertificateRequest(WOLFSSL* ssl, const byte* input,
         #endif
             ) {
         if (PickHashSigAlgo(ssl, peerSuites.hashSigAlgo,
-                                               peerSuites.hashSigAlgoSz) != 0) {
+                            peerSuites.hashSigAlgoSz, 0) != 0) {
             WOLFSSL_ERROR_VERBOSE(INVALID_PARAMETER);
             return INVALID_PARAMETER;
         }
diff --git a/wolfssl/internal.h b/wolfssl/internal.h
index 7bac1f6cf..f017abaae 100644
--- a/wolfssl/internal.h
+++ b/wolfssl/internal.h
@@ -2180,7 +2180,7 @@ WOLFSSL_LOCAL int  DoServerHello(WOLFSSL* ssl, const byte* input, word32* inOutI
 WOLFSSL_LOCAL int  CompleteServerHello(WOLFSSL *ssl);
 WOLFSSL_LOCAL int  CheckVersion(WOLFSSL *ssl, ProtocolVersion pv);
 WOLFSSL_LOCAL int  PickHashSigAlgo(WOLFSSL* ssl, const byte* hashSigAlgo,
-                                   word32 hashSigAlgoSz);
+                                   word32 hashSigAlgoSz, int matchSuites);
 #if defined(WOLF_PRIVATE_KEY_ID) && !defined(NO_CHECK_PRIVATE_KEY)
 WOLFSSL_LOCAL int  CreateDevPrivateKey(void** pkey, byte* data, word32 length,
                                        int hsType, int label, int id,