The Israel international has enjoyed a memorable season, scoring nine goals in 42 appearances in all competitions to mark his most successful campaign.
That form has caught the eye of a number of clubs, who are hoping to take advantage of the fact that Benayoun is not guaranteed a place in Rafa Benitez's first team.
But the former West Ham player is adamant he does not want to leave Merseyside after two years and has indicated that he would welcome contract talks.
"This has been the best season of my career. I have played a lot of games and scored some important goals, and I am very happy with that," the attacking midfielder told Israeli radio.
Discussions"At the moment, I am a Liverpool player, and unless something surprising happens, I will remain one. But after such a good season, I have had some offers from England and Spain.
"You have to give that some consideration, so there will probably be some discussions with Liverpool.
"I have had a great two years at Anfield and enjoyed every minute. I have long since accepted that, with one or two notable exceptions, there is no such thing as an automatic choice at Liverpool.
"Unless you are Steven Gerrard, you are going to sit out one or two games, but that is no problem. Stevie is exceptional, and the rest of us accept that.
"The good thing is, I have been playing more, and I hope it continues that way. To be honest, it could be Real Madrid knocking on my door, and I would still rather stay at Liverpool four more years."