diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index e55d9b7e2..aa18ac4ea 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -5488,19 +5488,12 @@ run_test    "Per-version suites: TLS 1.2" \
 # Test for ClientHello without extensions
 
 requires_gnutls
-run_test    "ClientHello without extensions, SHA-1 allowed" \
+run_test    "ClientHello without extensions" \
             "$P_SRV debug_level=3" \
             "$G_CLI --priority=NORMAL:%NO_EXTENSIONS:%DISABLE_SAFE_RENEGOTIATION localhost" \
             0 \
             -s "dumping 'client hello extensions' (0 bytes)"
 
-requires_gnutls
-run_test    "ClientHello without extensions, SHA-1 forbidden in certificates on server" \
-            "$P_SRV debug_level=3 allow_sha1=0" \
-            "$G_CLI --priority=NORMAL:%NO_EXTENSIONS:%DISABLE_SAFE_RENEGOTIATION localhost" \
-            0 \
-            -s "dumping 'client hello extensions' (0 bytes)"
-
 # Tests for mbedtls_ssl_get_bytes_avail()
 
 run_test    "mbedtls_ssl_get_bytes_avail: no extra data" \