Edouard is currently on a season-long loan from Paris Saint-Germain, and has scored four goals in 13 appearances in all competitions.
Rodgers has acknowledged that the 19-year-old is in his thoughts for next season, but will not make any fast decisions regarding the future of the Frenchman.
The 44-year-old told reporters: "I will assess it at the end of the season. I have been really impressed by him and he is getting better and better each week.
"The boy has big talent and is a real worker as well. He works very hard for the team and he's the type of performer I like. His English is getting better through lessons and he's still only very young. He has a lot of potential there.
"He has grown each week he has been with us. It's a case of assessing it. There's no rush. It's for both sides as well: he might love it with us; he might not. I know he is really enjoying it but there is no rush to commit on either side now."