Kenny Dalglish is keen to strengthen his centre-back options, and Fanatix.com reports that the two clubs have already held unofficial talks with Chelsea.
The rumoured fee is in the region of £12 million, with Alex having fallen behind David Luiz in the pecking order at Stamford Bridge.
Liverpool reportedly switched their interest to Alex after being priced out of a move for Ryan Shawcross, who Stoke City value at £18 million.
