diff --git a/tests/compat.sh b/tests/compat.sh
index d7a91b47e9..320d0c57c1 100755
--- a/tests/compat.sh
+++ b/tests/compat.sh
@@ -588,7 +588,22 @@ add_mbedtls_ciphersuites()
 # o_check_ciphersuite STANDARD_CIPHER_SUITE
 o_check_ciphersuite()
 {
-    if [ "${O_SUPPORT_ECDH}" = "NO" ]; then
+    # skip DTLS when lack of support was declared
+    if test "$OSSL_NO_DTLS" -gt 0 && is_dtls "$MODE"; then
+        SKIP_NEXT_="YES"
+    fi
+
+    # OpenSSL <1.0.2 doesn't support DTLS 1.2. Check if OpenSSL
+    # supports $O_MODE from the s_server help. (The s_client
+    # help isn't accurate as of 1.0.2g: it supports DTLS 1.2
+    # but doesn't list it. But the s_server help seems to be
+    # accurate.)
+    if ! $OPENSSL s_server -help 2>&1 | grep -q "^ *-$O_MODE "; then
+        SKIP_NEXT_="YES"
+    fi
+
+    # skip static ECDH when OpenSSL doesn't support it
+    if [ "${O_SUPPORT_STATIC_ECDH}" = "NO" ]; then
         case "$1" in
             *ECDH_*) SKIP_NEXT="YES"
         esac
@@ -665,8 +680,8 @@ setup_arguments()
     esac
 
     case $($OPENSSL ciphers ALL) in
-        *ECDH-ECDSA*|*ECDH-RSA*) O_SUPPORT_ECDH="YES";;
-        *) O_SUPPORT_ECDH="NO";;
+        *ECDH-ECDSA*|*ECDH-RSA*) O_SUPPORT_STATIC_ECDH="YES";;
+        *) O_SUPPORT_STATIC_ECDH="NO";;
     esac
 
     if [ "X$VERIFY" = "XYES" ];
@@ -1109,19 +1124,6 @@ for MODE in $MODES; do
 
                 [Oo]pen*)
 
-                    if test "$OSSL_NO_DTLS" -gt 0 && is_dtls "$MODE"; then
-                        continue;
-                    fi
-
-                    # OpenSSL <1.0.2 doesn't support DTLS 1.2. Check if OpenSSL
-                    # supports $O_MODE from the s_server help. (The s_client
-                    # help isn't accurate as of 1.0.2g: it supports DTLS 1.2
-                    # but doesn't list it. But the s_server help seems to be
-                    # accurate.)
-                    if ! $OPENSSL s_server -help 2>&1 | grep -q "^ *-$O_MODE "; then
-                        continue;
-                    fi
-
                     reset_ciphersuites
                     add_common_ciphersuites
                     add_openssl_ciphersuites