Sterling allegedly told England boss Roy Hodgson that he was feeling tired ahead of last Sunday's Euro 2016 qualifier with Estonia, but the 19-year-old is expected to begin the Premier League fixture at Loftus Road.
However, Rodgers has suffered a blow with the news that striker Daniel Sturridge has been ruled out for another month with a calf injury suffered in training.
Liverpool will be hoping to improve their away record after losing two of their three fixtures on the road this season.
Queens Park Rangers boss Harry Redknapp needs a positive result on Sunday afternoon to quieten rumours about his future at the club.
Queens Park Rangers: LWLDLL
Possible starting lineups
Queens Park Rangers: Green; Onuoha, Caulker, Ferdinand, Traore; Hoilett, Henry, Fer, Sandro, Taarabt; Austin
Liverpool: Mignolet; Manquillo, Skrtel, Lovren, Moreno; Gerrard, Coutinho, Sterling, Henderson, Lallana; Lambert
Sports Mole says: 1-3