The Israel international only moved to Anfield in the summer from West Ham and is already fed-up with manager Rafa Benitez's rotations policy.
"If Yossi won't be involved enough we will think of moving to a medium-sized team," Benayoun's agent, Ronen Katzav, said in a radio interview in Israel. "When we first met with Rafa Benitez, he asked for a lot of patience since there is a huge squad at Liverpool.
"We don't analyse each match. Yossi has patience and motivation and he will get his chance. When you are taking a decision to move to Liverpool, you are prepared for all possibilities and Yossi decided to follow his heart. The target was to try and integrate in the team and I'm sure he will play a lot. Naturally, Yossi wants to be in the squad and knows he has a lot of work to do but if he won't play for a long period we will think again."