Sterling scored his first goal for the Reds in yesterday's 1-0 win over Reading and Hodgson is now keen to give the 17-year-old a chance to perform on the international stage.
"I will use the November game in Sweden to look at a few players," the Three Lions boss told The People.
"Sterling is one. We allowed him to go with the Under-21s last time when we might well have taken him into our squad had they not had such an important game."
Kingston-born Sterling is also eligible to play for Jamaica.