Arjen Robben, Mario Gomez, Ivica Olic and Daniel van Buyten are all expected to stay at Bayern Munich.
Olic and Van Buyten are both out of contract in the summer, but chairman Karl-Heinz Rummenigge expects them to remain with the club.
Star men Gomez and Robben, meanwhile, appear tempted to extend their contracts prematurely.
"I believe that Olic and Van Buyten will stay," Rummenigge told Kicker magazine.
"Both of them have shown an interest in staying and they have shown good character, too."
Olic did not seem so keen to stay just a few months ago when a lack of first-team opportunities prompted him to request a move in the winter.
A transfer was blocked and he has since started playing more frequently under Jupp Heynckes, proving he can be a reliable back-up for Gomez, who Rummenigge also hopes will extend his stay with the club beyond 2013.
"I am cautiously optimistic that Mario will play for Bayern Munich for a long time to come," added Rummenigge.
And despite starting the last three games on the bench, Rummenigge believes Robben is also happy to stay with the Bavarian club.
"We are patient and we will find a solution," said Rummenigge, who knows now may not be the ideal time to enter into negotiations with the Dutchman.