The Sun says the Spaniard is prepared to keep Crouch for the last year of his contract and lose him for nothing - rather than sell him for less than his transfer value.
But England star Crouch, 27, is outraged at Benitez's stance - and he feels the Reds are going back on a pre-season gentleman's agreement.
Portsmouth are desperately keen to take the 6ft 7in hitman back to Fratton Park but are not keen to pay much beyond £8m.
But Benitez said: "If we receive a very good offer - and by that I mean £15m - we will consider it. I'm happy to keep him."