Edouard, who was replaced after 38 minutes at Celtic Park, felt "a tightness around his abductor", Rodgers said.
"We'll just see how he is in the next 24 hours," he told BBC Scotland.
"It's a concern when you lose any player but he's played a lot of games and we've not been able to rest him so it's probably a little bit of fatigue."
The win against Motherwell, along with Rangers' goalless draw with Hibernian, saw Celtic return to the top of the table, a point ahead of their Glasgow rivals with a game in hand.
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Celtic host Dundee on Saturday, visit Aberdeen on Dec. 26 and Rangers three days later before the winter shutdown.
(Reporting by Hardik Vyas in Bengaluru; Editing by Peter Rutherford)
