The controversial forward spent the summer attempting to engineer a move away from the Anfield club, with both Arsenal and Real Madrid interested in his services.
But despite Suarez’s best attempts, Liverpool stuck to their guns and refused to sell. The forward returned to Premier League action after a 10-game ban for biting Chelsea defender Branislav Ivanovic in April, and scored twice as the Reds moved up to second in the table.
Reports last week suggested the club were looking to tie the Uruguayan down to a new contract, but Aldridge hopes they do not reward a player who spent the summer looking to leave.
“Suarez was very keen to leave Liverpool in the summer and I have no doubt that he will look to get away once again,” the former Kop hero said.
“So why try and get him to commit to the club now, so soon after he did the dirty on them with his bid to join Arsenal?
“Liverpool chief executive Ian Ayre may have told the media he would consider a new contract for Suarez in a bid to dampen down any fresh speculation over the future of the striker.
“But if Liverpool fail to qualify for the Champions League once again, I’m sure Suarez will want to leave and I would advise my old club to get as much money for him as possible and rebuild the team with the new funds.”
Reports suggest Liverpool may open talks as early as next week on a new deal that would see Suarez become Liverpool’s highest earner on £160,000 a week.