After reporting for the start of pre-season training at the beginning of the week, Sterling was absent on Wednesday and Thursday, sighting ill-health as the reason for his no-show on both days.
Many appear to be running out of patience with the England international who seems to have his heart set on a move away from Anfield at any cost.
Gerrard is one of those who believes that Sterling needs to demonstrate a higher level of professionalism and show Liverpool and its fans more respect.
"I'm not happy with all that carry-on and I don't think there's any need for it. They all need to be men about the situation," Gerrard told Sky Sports.
"Raheem needs to go in and speak to the owners and to Brendan [Rodgers] himself, tell them what he wants and go about it that way. You don't have to throw illnesses in and refuse to go on tour.
"There are millions and millions of Liverpool fans around the world who are itching to see Raheem Sterling in a Liverpool kit. So I don't think it's fair on them if he is behaving like that."
Manchester City are believed to have a third bid for Sterling in the pipeline, having already seen two offers rejected by Liverpool.
The Reds value Sterling at £50 million, and it seems unlikely that they will settle for anything less than that.