Spain star Fernando Morientes has told Real Madrid he wants to join Liverpool.
Liverpool, seeking to replace Djibril Cisse after his broken leg, are believed to have bid £3.5m.
But Real Madrdid president Florentino Perez insisted his club had not received any formal request and is thought to want £7m for the striker.
Morientes, 28, said: "I like Liverpool and I am pleased that a club of their stature want to buy me. I have told Madrid that I want it to happen."
Perez admitted he had spoken to Morientes about his wish to leave the Bernabeu.
"I had a meeting with Morientes and his agent this morning and we agreed that, given he has not played much this season, we would study any future offers," said Perez.
"No one has said anything yet but if an offer does arrive we will consider it carefully."
Morientes, who is also wanted by Monaco after a successful loan spell there last season, added: "Madrid know my situation and they know they must do something about me. They must sort out the situation by being sensible.
"I am in a position where I want to play, and I will have to look elsewhere to do that. If Madrid do not want me then it's in the best interests of everyone that they are realistic.
"I haven't spoken to Rafa Benitez but I have always appreciated his work and I would like to play for him.
"There are things that must be sorted out now, and I hope they can do it. I am a Madrid player and my circumstances are difficult because I must wait for them to decide. But I would like it to be resolved with maturity.
The player's agent Gines Carvajal added: "Morientes only wants to play and this is impossible in Real Madrid - there are several European clubs interested in him."
Liverpool boss Benitez, desperate to strengthen his attacking options, believes a compromise deal of £5m can be agreed.
And Real coach Mariano Garcia Remon appears to have accepted that Morientes will probably leave.
"I understand that Morientes wants to leave and that he wants to play," he said.
"He is a great professional and being selfish I would like him to stay, but he's not playing the minutes he deserves because only 11 can play at the same time."
Morientes was the top scorer in last season's Champions League while he was on loan at Monaco.
However, on his return to the Bernabeu he has found himself behind Raul, Ronaldo and Owen in the pecking order.