The goalkeeper made 49 appearances for the Saints following his arrival in 2012, but he lost his place to England international Fraser Forster during the summer, which resulted in him recently joining Bournemouth on loan until January.
Speaking about his future, the Pole revealed that he does not see much more of his career being played out at the St Mary's Stadium.
"Just now I'm staying [at Bournemouth] up until January. We will see what is going to happen. If there is something interesting come up, I'm going to try it," he told Sky Sports News.
"I want to keep playing and that's the main thing for me. I'm not the kind of player that sits on the bench watching a game. I like to be in the action, which is why I probably need to leave Southampton if nothing is going to change."
Bourc signed for the Saints from Serie A outfit Fiorentina.