diff --git a/core/src/main/java/io/smallrye/openapi/runtime/util/TypeUtil.java b/core/src/main/java/io/smallrye/openapi/runtime/util/TypeUtil.java
index 9d3a2d470..c00c57189 100644
--- a/core/src/main/java/io/smallrye/openapi/runtime/util/TypeUtil.java
+++ b/core/src/main/java/io/smallrye/openapi/runtime/util/TypeUtil.java
@@ -506,9 +506,11 @@ public static boolean isTerminalType(Type type) {
                 terminal = true;
                 break;
             case TYPE_VARIABLE:
-            case WILDCARD_TYPE:
                 terminal = false;
                 break;
+            case WILDCARD_TYPE:
+                terminal = isTerminalType(resolveWildcard(type));
+                break;
             case CLASS:
                 if (DOTNAME_OBJECT.equals(type.name())) {
                     terminal = true;
diff --git a/core/src/test/java/io/smallrye/openapi/runtime/io/schema/SchemaFactoryTest.java b/core/src/test/java/io/smallrye/openapi/runtime/io/schema/SchemaFactoryTest.java
index 69589ec34..bd23ccd25 100644
--- a/core/src/test/java/io/smallrye/openapi/runtime/io/schema/SchemaFactoryTest.java
+++ b/core/src/test/java/io/smallrye/openapi/runtime/io/schema/SchemaFactoryTest.java
@@ -1,14 +1,17 @@
 package io.smallrye.openapi.runtime.io.schema;
 
 import static org.junit.jupiter.api.Assertions.assertEquals;
+import static org.junit.jupiter.api.Assertions.assertNull;
 
 import java.util.Collections;
 import java.util.concurrent.CompletableFuture;
 
+import org.eclipse.microprofile.openapi.models.media.Schema;
 import org.jboss.jandex.DotName;
 import org.jboss.jandex.Index;
 import org.jboss.jandex.ParameterizedType;
 import org.jboss.jandex.Type;
+import org.jboss.jandex.WildcardType;
 import org.junit.jupiter.api.Test;
 
 import io.smallrye.openapi.api.util.ClassLoaderUtil;
@@ -30,4 +33,13 @@ void testResolveAsyncType() {
         assertEquals(STRING_TYPE, result);
     }
 
+    @Test
+    void testWildcardSchemaIsEmpty() {
+        Index index = indexOf();
+        AnnotationScannerContext context = new AnnotationScannerContext(index, ClassLoaderUtil.getDefaultClassLoader(),
+                emptyConfig());
+        Type type = WildcardType.create(null, false);
+        Schema result = SchemaFactory.typeToSchema(context, type, null, Collections.emptyList());
+        assertNull(result.getType());
+    }
 }