Sturridge played all of England's friendly against Germany on Tuesday, even though he had hardly trained because of the dead leg and thigh problem that forced him out of the game against Chile last Friday.
The Liverpool striker did not train at Melwood on Thursday - nor did England captain Steven Gerrard - and Rodgers has admitted Sturridge will need to be closely monitored in the next 24 hours if he is to make his line-up at Goodison Park.
"I was not overly surprised he played the full 90 minutes," said Rodgers. "But it's not ideal if you haven't trained. When you see Daniel - and I have worked with him for a number of months - I know when he's at his best. That's when he has been training regularly and playing games.
"Sometimes managers are led by players. Sometimes they want to play 90 minutes and that is something we will consider. He is back recovering and we will see where he is."
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