Fighting network latency : howto cache a JMS Connection/Session/MessageProducer?

Hi,
we use glassfish with a REMOTE JMS broker. When we were running in EMBEDDED we did not experienced this issue but now we do. Network latency adds a bad delay for each Connection/Session/Producer creation it's why we would like to cache those object and reuse them as much as possible.

Here is a code snippet to illustrate what I would like to do.
My question is : is it safe to do that, does connection/session in glassfish have been designed to be kept in possible long lived EJB?

@Stateful
public class ARSenderBean {
	@EJB
	private LegacyCorpusManagerAutoRecolte cman;

	@Resource(mappedName = Messaging.LOCAL_JNDI_CONN_FACTORY)
	private ConnectionFactory connectionFactory;

	@Resource(mappedName = AutoRecolteIndexerConsumer.QUEUE_NAME)
	private Queue arQueue;

	@Resource(mappedName = LegacyDocumentARCommonConsumer.FILTER_QUEUE_NAME)
	private Queue filterQueue;
	@Resource(mappedName = AliasToCreateWorkflowConsumer.QUEUE_NAME)
	private Queue atcQueue;

	private Connection connection;
	private Session session;
	private MessageProducer arProd;
	private MessageProducer filterProd;
	private MessageProducer atcProd;

	/**
	 * Initialize JMS objects
	 */
	@PostConstruct
	public void init() {
		try {
			connection = connectionFactory.createConnection(); // 1-2 ms
			session = connection.createSession(true, Session.SESSION_TRANSACTED); // 1-2 ms
			arProd = session.createProducer(arQueue); // 1-2 ms
			filterProd = session.createProducer(filterQueue); // 1-2 ms
			atcProd = session.createProducer(atcQueue); // 1-2 ms
 			// total of 6 or 8 ms 

			arProd.setDisableMessageID(true);
			filterProd.setDisableMessageID(true);
			atcProd.setDisableMessageID(true);
		} catch(JMSException jmse) {
			throw new EJBException(jmse);
		}
	}

	/**
	 * Return the connection to the pool
	 */
	@PreDestroy
	public void destroy() {
		try {if(connection != null) connection.close();} catch(JMSException jmse) {}
	}

	public void sendFilter(FilterMessage msg) {
		try {
			filterProd.send(msg.getJMSMessage(session));
		} catch(JMSException jmse) {
			throw new EJBException(jmse); // Shoud destroy this EJB instance and call PreDestroy?
		}
	}

	public void sendIndex(AutoRecolteIndexerMessage msg) {
		try {
			arProd.send(msg.getJMSMessage(session));
		} catch(JMSException jmse) {
			throw new EJBException(jmse); // Shoud destroy this EJB instance and call PreDestroy?
		}
	}

	public void sendAtc(LegacyDocumentDataMessage msg) {
		try {
			atcProd.send(msg.getJMSMessage(session));
		} catch(JMSException jmse) {
			throw new EJBException(jmse); // Shoud destroy this EJB instance and call PreDestroy?
		}
	}
}

Thanks