"It is very important we keep hold of Luis. He is a wonderful player," the Liverpool boss said.
"He came back late on Thursday, was in training on Friday and I saw how tired he was. He looked totally shattered from all the travel and all the exertions of the games.
"But you look at him at Villa, his energy and willingness to work for the team and just his sheer quality.
"We don't have to sell Luis. There is nothing like that. He is very happy and we don't need to sell him for the money or anything like that.
"Our job is trying to build the group here and add to it. We've bought front and midfield players and we want to keep striving forward and there is no need to sell."