Brendan Rodgers' men have started the season impressively and lie second in the table behind leaders Arsenal, having won five of their opening seven matches.
Liverpool's form has sparked talk of a first genuine tilt at the Premier League title since 2009, but Gerrard is adamant everyone at the club is concentrating on securing a return to 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. The aim is for a top-four place," he told Liverpool's official website.
Gerrard was also bullish about England's chances of qualifying for the 2014 World Cup in Brazil as he prepares to lead the Three Lions out at Wembley in Tuesday's crunch qualifier against Poland.
"The result [against Montenegro] will give us a huge lift and it's good for confidence going into the final game," he added.
"But the message is that the job's half done. Poland are a very good team. They're going to come and do us no favours, like Montenegro, and try to make it really difficult for us.
"It's important that we perform to the same level as on Friday night."