Gerrard hopes to see Brendan Rodgers as a long-term prospect at Anfield.
"Letâ€™s hope not because that means that Brendan Rodgers hasnâ€™t succeeded, and he wants to be here for a very long time," Gerrard told the Daily Mail.
"I understand what you mean when you talk about maintaining that connection with the city. But, if Brendan brings some stability and success back to the club, and I very much hope he does, I donâ€™t think the supporters will worry so much about things like that.
"People look for things like that only when itâ€™s not going so well. Letâ€™s just hope Iâ€™m involved with the club for a long time beyond now. Iâ€™d like to be and I certainly donâ€™t see myself playing for anyone else. But I donâ€™t want to put it in black and white now because I still feel Iâ€™ve got some time left as a player first."