Bent is being heavily linked with a loan switch to Anfield having been frozen out at Villa since the arrival of Paul Lambert as manager.
The 28-year-old, who has scored more than 100 Premier League goals during his career, would ease the burden on Luis Suarez.
But Nicol says Rodgers should be looking elsewhere for strike targets, telling talkSPORT: "I don't think he will suit Liverpool.
"Darren’s a little one-sided for me. He’s not a guy who gets involved in the play and I think the way Brendan has it set up, with the three guys up front, he wants them all involved.
"Darren’s a guy who you get the ball in the box to and, because of the quality and knack he has of scoring goals, he will get on the end of it. But I don't think he will suit Liverpool."