The wantaway England international has been absent from the Reds' pre-season preparations at Melwood after reporting in ill
It is understood Sterling spoke to manager Brendan Rodgers earlier this week to tell him he did not want to travel on the tour to Asia and Australia
Liverpool have rejected a £40million bid for the 20-year-old from Manchester City and Gerrard, who made more than 700 appearances for the Reds before this summer moving to LA Galaxy, said: "I'm not happy with all that carry-on
"He needs to go in and see the owners. You don't have to throw in illness, or refuse to go on tour. There are millions of Liverpool fans waiting to see Raheem pull on a Liverpool shirt
"It looks very disappointing from where I'm sat. The fans have shown him great support, they want him to stay and I believe that he should too."
Gerrard continued on Sky Sports News: " It's very difficult for me to sit here and support him and the team around him...what they're trying to do with his career at a young age
"It'll be a terrible shame if he goes somewhere and doesn't kick on as a player
"It's slightly disappointing how far the situation has gone - but the only way I can see for him is out at the moment."