Spring Data / Hibernate - don't automatically open JDBC connection before checking L2 cache

We use Spring Data JPA and have successfully configured L2 entity and query caches. What still bothers me though is the fact that Hibernate always opens a JDBC connection before checking the L2 cache. This sometimes causes issues (too many open connections) due to a very busy database.

Is there a way to make Hibernate only open a JDBC connection after a L2 cache miss?

Just to clarify, here are the session metrics:

i.StatisticalLoggingSessionEventListener : Session Metrics {
    1716707 nanoseconds spent acquiring 1 JDBC connections;
    0 nanoseconds spent releasing 0 JDBC connections;
    0 nanoseconds spent preparing 0 JDBC statements;
    0 nanoseconds spent executing 0 JDBC statements;
    0 nanoseconds spent executing 0 JDBC batches;
    0 nanoseconds spent performing 0 L2C puts;
    236767 nanoseconds spent performing 1 L2C hits;
    0 nanoseconds spent performing 0 L2C misses;
    0 nanoseconds spent executing 0 flushes (flushing a total of 0 entities and 0 collections);
    0 nanoseconds spent executing 0 partial-flushes (flushing a total of 0 entities and 0 collections)
}

So even though there was absolutely no query performed on the database, a JDBC connection was still opened.