The Real Madrid striker has been told he can leave in January, but Liverpool will need to stump up the cash if they want their man.
Rafael Benitez initially wanted Morientes as part of the deal that took Michael Owen to the Bernabeu, but had to settle for Antonio Nunez.
Madrid would want £8m for their player, but with a salary in the region of £40,000 the total cost for a three-year deal would be in the region of £15m.