He told the Liverpool Echo: "Keane has played for many years in the Premier League and he has done really well with Spurs and is a massive player for them.
"We all know how well he did for Spurs last season and if he could do the same for us if he came here he would be a great signing.
"When you are at a club like Liverpool you expect the club to be linked with top players and of course you want players like Keane because they can come in and do a good job.
"It would make competition for places even tougher, but that's the way it should be because it brings out the best in you.
"We are always looking at the papers to try and find out what is going on and we expect a few more signings but I suppose we'll just have to wait and see."