The pair have 14 goals between them this season, with Sturridge topping the scoring charts with eight, to Suarez's six.
"If Luis Suarez and Daniel Sturridge both stay fit and avoid suspensions then I really fancy one of them to win the Golden Boot," Aldridge wrote in his Liverpool Echo column.
"As a striker you have to strive for that. I always wanted to win it and one of the proudest moments of my career was when I was presented with it on the turf at Anfield in 1988.
"When you are paid to score goals, getting more than anyone else is a great feeling. There's a healthy rivalry between Suarez and Sturridge and they'll spur each other on."
Both players scored in Saturday's 4-1 win over West Bromwich Albion, with Suarez hitting a hat-trick.