diff --git a/tests/ssl-opt.sh b/tests/ssl-opt.sh
index 3d0ca876b..e65b8eca9 100755
--- a/tests/ssl-opt.sh
+++ b/tests/ssl-opt.sh
@@ -5500,15 +5500,8 @@ run_test    "Per-version suites: TLS 1.2" \
 # Test for ClientHello without extensions
 
 requires_gnutls
-run_test    "ClientHello without extensions, SHA-1 allowed" \
-            "$P_SRV debug_level=3 key_file=data_files/server2.key crt_file=data_files/server2.crt" \
-            "$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" \
-            "$P_SRV debug_level=3 key_file=data_files/server2.key crt_file=data_files/server2.crt allow_sha1=0" \
+run_test    "ClientHello without extensions" \
+            "$P_SRV debug_level=3" \
             "$G_CLI --priority=NORMAL:%NO_EXTENSIONS:%DISABLE_SAFE_RENEGOTIATION localhost" \
             0 \
             -s "dumping 'client hello extensions' (0 bytes)"