Brendan Rodgers' side have made an impressive start to the season and currently sit in second spot, only behind leaders Arsenal on goals scored.
It has been suggested Liverpool could be dark horses for the championship, with many expecting this season's title race to be one of the most wide open in recent years.
However, Gerrard has calmed growing expectations and is adamant that the priority is to finish in the top four and claim a spot in the Champions League.
"I'd never say never about our chances of winning the Premier League title. But if I'm being honest, that's not the aim," Gerrard told the club's official website.
"The aim is for a top-four place."
@alex_the_red Id only think it was a possibility if that was the case in May! But its a good feeling to even have this conversation. Still think we'd do brilliantly to finish in top 4. Here's hoping...- darcy_171