The agent of Bayern Munich captain Mark van Bommel claims Liverpool have made an enquiry about the player but better offers have also come in from elsewhere.
The Dutch midfielder is out of contract in the summer and unlikely to sign a new deal with the reigning German champions.
Van Bommel could leave this month should the right offer come in, and his agent Mino Raiola revealed there is competition for his signature.
"I know about Liverpool's interest, but other offers are currently more interesting," Raiola told Germany's Bild newspaper.
Bayern's Bundesliga rivals Wolfsburg and Serie A leaders AC Milan are understood to be keen on the 33-year-old, and Raiola says he is working on placing his client with a new club.
"I cannot guarantee 100% that he will stay (with Bayern), but there is no rush with negotiations - I just have to do a good job.
"I have got to find Mark the perfect club and we still have enough time for that."
Van Bommel joined Bayern Munich four years ago and became their captain when Oliver Kahn retired in 2008.
However, following the arrival of Luiz Gustavo from Hoffenheim earlier this month, there is more competition for his place at the heart of the midfield and he has hinted that he could be on his way out.
"You never know what the future brings," Van Bommel said.
"I am concentrating on Bayern while my agent takes care of all the rest."