The Reds have invested heavily this summer as they aim to return to the top four, and will need to be there by Christmas according to their former star.
The Reds endured a difficult start to last season, which saw them sitting at the wrong end of the Premier League table, but picked up in the second half of the campaign.
However, they could not overcome that slow start and ended up missing out on a top-four place and Champions League qualification. They have since invested this summer, with a number of new faces arriving at Anfield as they look to significantly improve on last season.
And Aldridge says they will need to be in the top three of four by Christmas if Rodgers is to avoid finding himself in the firing line.
“He needs to get off to a flier because Liverpool fans have become used to success at the club,” he wrote on Kicca.
“The team needs to get into winning form because by Christmas, Liverpool have to be right up there at the top. If they are not in the top three or four by Christmas, Brendan will find himself under a tremendous amount of pressure.”
A tough challenge for Brendan Rodgers and Liverpool
Being in that position by Christmas will be a tough challenge for the Reds, though, with the teams above all likely to strengthen over the summer.
Arsenal have already added Petr Cech to boost one of their weakest areas, while Manchester United have acquired exciting winger Memphis Depay and are sure to be busy during the remainder of the window.
Manchester City are expected to try and overhaul an ageing squad, as they will be keen to banish memories of last season’s disappointing campaign, and champions Chelsea are unlikely to rest on their laurels with Jose Mourinho in charge.
That, then, will make finishing in the top four even more difficult for Brendan Rodgers’ side, and he may well find himself under pressure regardless of how well his side starts next season.