The Holland international is unhappy with the limited number of matches he has started with the Anfield club since his £11.5million move from Ajax in the summer of 2007.
"I have tried to talk to the manager but it isn't of any use. I couldn't really do anything with the feedback Benitez gave me," Babel explained.
"We have agreed to look at my situation in the winter. If there's no improvement then, I have to be honest, I want to be somewhere else.
"I don't play a lot so I can't be happy and I can't cheer out loud. Sometimes I wonder how long I can sustain it but I will fight for my position - what else can I do?''
Babel scored an impressive long-range goal for Liverpool in their last Champions League match, the 1-1 draw at Lyon.
However, on the eve of tonight's must-win match against Debrecen he spoke of his frustration at failing to make more of an impact with the club.
He continued in the Sun: "Isn't it unbelievable that in my first year I got chosen as Talent of the Year? And a season later I hardly play and without getting a proper chance.''
Babel, who represented Holland in Beijing last summer, added: "I don't know if it has anything to do with my little trip to the Olympics. I know the manager wanted me to stay.''
However, he does not think Benitez has a grudge against him.
Babel explained: "I really don't believe he is trying to get back at me. Every time me or my agent (Willie Haatrecht) have a chat with him he stresses I can't leave and he believes in me. We have to trust he is telling the truth. Saying it is different to showing it.''
Babel has confidence in his own ability and still believes he can make the right impression in a Liverpool shirt.
He added: "I have shown I can do it plenty of times. I know I could be further in my career but if nobody helps you, if they don't make it easier for you, then it is difficult.''