The Reds boss hit out at the unjust "vilification" of the forward on Monday after Stoke's Tony Pulis called for three-match bans for players who go to ground following Suarez's theatrical fall in the penalty area during Sunday's goalless draw at Anfield.
Hunt thinks Rodgers must do more to educate Suarez, but admits only the player himself can now extricate himself from the situation.
"I think he's got the reputation now and sometimes it probably is a penalty, but with his reputation the referees won't give him one," said Hunt, speaking at the launch of the In the 90th campaign, marking the 90th season of The Football Pools.
"Someone must tell him to stop it, just play football. He doesn't have to do all that.
"I'm sure Brendan will have a word with him. I think he's strong enough to do that and everyone will benefit.
"It's not asking a lot for him to stay on his feet in those situations."