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"It is certain Liverpool are interested in the player but I don't believe there have been any concrete propositions for a transfer," said Carvajal.
"Morientes only wants to play and today this is impossible in Real Madrid. The player is a great striker and there are several European clubs interested in him."
Morientes has left the decision over his future up to Real.
"I am a player of Real and the club has the decision over my situation," said Morientes.
"The rumours are strong but at the moment no-one has told me anything and I have not had any direct propositions."
Liverpool will face competition from "several European clubs" as they increase their interest in Real Madrid striker Fernando Morientes.
Reports suggest the Anfield club have already had a £3.5million bid for the 28-year-old turned down, but the player's agent, Gines Carvajal, insists he knows nothing of specific offers.
However it is believed Liverpool boss Rafael Benitez has registered his interest in Morientes with the player's representative.
"Madrid know my situation and they know they must do something about me," he is reported to have said.
"They must sort out the situation by being sensible.
"I haven't spoken to [Liverpool manager] 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.