connect SimpleJDBCCOnnectionPool and ejb

Hello everyone!
I come up on idea that will be a good to join SimpleJDBCConnectionPool and ejb bean.
For exaple we can make Statless an local ejb bean. And every where we ned connection on data base in our application we can call appropriate method from ejb. And if it possibile, we can use pool without entity classes. Because what that in some projects use persitance is overkill. If that possible and if that acceptably where and how we can make pool? Is good place for it, the constructor of ejb?