diff --git a/test/param_build_test.c b/test/param_build_test.c
index d67df3c311e03..68517e66be832 100644
--- a/test/param_build_test.c
+++ b/test/param_build_test.c
@@ -16,7 +16,7 @@
 
 static const OSSL_PARAM params_empty[] = { OSSL_PARAM_END };
 
-static int template_public_single_zero_test(void)
+static int template_public_single_zero_test(int idx)
 {
     OSSL_PARAM_BLD *bld = NULL;
     OSSL_PARAM *params = NULL, *params_blt = NULL, *p;
@@ -25,7 +25,8 @@ static int template_public_single_zero_test(void)
 
     if (!TEST_ptr(bld = OSSL_PARAM_BLD_new())
         || !TEST_ptr(zbn = BN_new())
-        || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, "zeronumber", zbn))
+        || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, "zeronumber",
+                                             idx == 0 ? zbn : NULL))
         || !TEST_ptr(params_blt = OSSL_PARAM_BLD_to_param(bld)))
         goto err;
 
@@ -550,7 +551,7 @@ static int builder_merge_test(void)
 
 int setup_tests(void)
 {
-    ADD_TEST(template_public_single_zero_test);
+    ADD_ALL_TESTS(template_public_single_zero_test, 2);
     ADD_ALL_TESTS(template_public_test, 5);
     /* Only run the secure memory testing if we have secure memory available */
     if (CRYPTO_secure_malloc_init(1<<16, 16)) {