A Premier League winners' medal is the only club honour missing from the England skipper's extensive trophy cabinet.
And while the Reds have made a good start to this season, sitting second ahead of the weekend's Merseyside derby at Goodison Park, Gerrard said no-one was getting carried away.
"I think it's important for me as captain of the team not to raise expectations," he said.
"When you're talking about winning titles, it's premature, it's too early, and I don't want to get anyone's hopes up.
"That would be unfair. Our dream and our plan at the beginning of the season was to break into the top four.
"We're slightly ahead of where we thought we'd be, but it's a tough league and there's six or seven teams capable of finishing in the top four... so there's (going to be) a huge fight.
"But the confidence and belief are definitely there.
Speaking to ESPNFC the 33-year-old, whose current contract runs until the end of next season, added: "There'd be a hole missing in my career (without a title win) but I don't think I'd spend the rest of my life being irritated or annoyed or frustrated.
"I don't think that would be fair on myself. (Since) I broke into this team at 18 years of age I've tried to win the title but it hasn't happened.
"I've got a couple more chances and I'll continue to fight for it."
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