diff --git a/tests/scripts/basic-in-docker.sh b/tests/scripts/basic-in-docker.sh
index 096f8edd8..37ed5ea50 100755
--- a/tests/scripts/basic-in-docker.sh
+++ b/tests/scripts/basic-in-docker.sh
@@ -42,6 +42,9 @@ for compiler in clang gcc; do
     run_in_docker -e CC=${compiler} make
     run_in_docker -e CC=${compiler} make test
     run_in_docker programs/test/selftest
+    run_in_docker -e OSSL_NO_DTLS=1 tests/compat.sh
+    run_in_docker tests/ssl-opt.sh -e '\(DTLS\|SCSV\).*openssl'
     run_in_docker tests/scripts/test-ref-configs.pl
     run_in_docker tests/scripts/curves.pl
+    run_in_docker tests/scripts/key-exchanges.pl
 done