Hibernate and JDBC in one transaction

I have a method, marked as @Transactional. It consists of several functions, one of them uses JDBC and the second one - Hibernate, third - JDBC. The problem is that changes, made by Hibernate function are not visible in the last functions, that works with JDBC.

@Transactional
void update() {
  jdbcUpdate1();
  hibernateupdate1();
  jdbcUpdate2(); // results of hibernateupdate1() are not visible here    
}

All functions are configured to use the same datasource:

<bean id="myDataSource" class="org.springframework.jdbc.datasource.TransactionAwareDataSourceProxy">
        <property name="targetDataSource" ref="targetDataSource"/>
    </bean>

    <bean id="targetDataSource" class="org.apache.commons.dbcp.BasicDataSource"
          destroy-method="close" lazy-init="true" scope="singleton">
       <!-- settings here -->
    </bean>

myDataSource bean is used in the code. myDataSource.getConnection() is used to work with connections in jdbc functions and

getHibernateTemplate().execute(new HibernateCallback() {
            public Object doInHibernate(Session session) throws HibernateException, SQLException {
               ... 
            }
        });

is used in hibernate function. Thanks.