Suarez is the subject of a £40 million offer from Arsenal.
"I've spoken to Luis loads and of course I'm trying to get him to stay," Gerrard told the Liverpool Echo.
"We will have to wait and see if I have any joy. It's a difficult one from a team-mate's perspective as you've got to show a player respect. Luis is his own guy and makes his own decisions. But Luis Suarez knows what I want him to do, don't worry about that.