diff --git a/hibernate-core/src/matrix/java/org/hibernate/test/readonly/ReadOnlyCriteriaQueryTest.java b/hibernate-core/src/matrix/java/org/hibernate/test/readonly/ReadOnlyCriteriaQueryTest.java
index d7a47f6edf..2a3f21abc2 100755
--- a/hibernate-core/src/matrix/java/org/hibernate/test/readonly/ReadOnlyCriteriaQueryTest.java
+++ b/hibernate-core/src/matrix/java/org/hibernate/test/readonly/ReadOnlyCriteriaQueryTest.java
@@ -37,9 +37,11 @@
 import org.hibernate.criterion.Property;
 import org.hibernate.criterion.Restrictions;
 import org.hibernate.criterion.Subqueries;
+import org.hibernate.dialect.SybaseASE15Dialect;
 import org.hibernate.internal.util.SerializationHelper;
 import org.hibernate.proxy.HibernateProxy;
 import org.hibernate.proxy.LazyInitializer;
+import org.hibernate.testing.SkipForDialect;
 
 import org.junit.Test;
 
@@ -946,6 +948,7 @@ public void testScrollCriteria() {
 	}
 	
 	@Test
+    @SkipForDialect( value = SybaseASE15Dialect.class, jiraKey = "HHH-3032", strictMatching = true)
 	public void testSubselect() {
 		Session s = openSession();
 		Transaction t = s.beginTransaction();
diff --git a/hibernate-core/src/matrix/java/org/hibernate/test/typeoverride/TypeOverrideTest.java b/hibernate-core/src/matrix/java/org/hibernate/test/typeoverride/TypeOverrideTest.java
index 0214e08ca8..227c72a863 100644
--- a/hibernate-core/src/matrix/java/org/hibernate/test/typeoverride/TypeOverrideTest.java
+++ b/hibernate-core/src/matrix/java/org/hibernate/test/typeoverride/TypeOverrideTest.java
@@ -27,6 +27,8 @@
 import org.hibernate.cfg.Configuration;
 import org.hibernate.dialect.Dialect;
 import org.hibernate.dialect.PostgreSQLDialect;
+import org.hibernate.dialect.SybaseASE15Dialect;
+import org.hibernate.testing.SkipForDialect;
 import org.hibernate.type.descriptor.sql.BlobTypeDescriptor;
 import org.hibernate.type.descriptor.sql.IntegerTypeDescriptor;
 import org.hibernate.type.descriptor.sql.SqlTypeDescriptor;
@@ -130,6 +132,7 @@ public void testInsert() {
 	}
 
 	@Test
+    @SkipForDialect( value = SybaseASE15Dialect.class, jiraKey = "HHH-6426")
 	public void testRegisteredFunction() {
 		Session s = openSession();
 		s.getTransaction().begin();