Sturridge struck in the 2-1 defeat.
On whether he was tempted to start Sturridge at Old Trafford, Rodgers added: "Not really. I've been assessing him in training.
"He's coming back and sometimes you can rush a player back too quickly and break them. I didn't want to do that with Daniel.
"He is certainly getting there. He hadn't played for a while or trained, so it's just a case of building him into it. Another good week's training and hopefully he'll be fine and fit."