The Italy international made a £16m move to the Reds last month, and the 19-year-old has said that his new teammate has taken quickly to the rest to the squad.
"He's a good person, a good character and he likes to have a laugh," Sterling told Sky Sports News. "So far so good with Mario, he seems like a really down to earth guy.
"He hasn't had to sing [an initiation song]. At Liverpool, we don't really do that, but I might ask the skipper (Steven Gerrard) about that, because it'd be quite funny.
"I think I'd sing an Alicia Keys song, or maybe 'The World's Greatest' by R Kelly."
Sterling has scored two goals for the Reds this season.