Sturridge, who seemingly sustained the injury while chipping home a fine third goal for Liverpool at the Allianz Arena, was substituted three minutes later by Jurgen Klopp.
But the forward said after the match he was "feeling great" and hoped the knock was "just fatigue".
Asked about the seriousness of the injury after the game, Klopp said: "I can't say. He hurt his thigh. He has prepared really well. I just hope he can play really soon.
"The goal was great and he had a chance just before that. You could see how fast he is. It's a shame and I hope it's nothing serious."
Sturridge himself told Liverpool's official website: "I think it's just fatigue to be honest, so I'll be OK.
"I'm feeling great. I have put in the work, I trained a lot in the summer.
"I've not missed many sessions here, they have looked after me. We've done triple sessions and I have trained almost every single session.
"So I'm feeling great, the best I have felt for a while.
"I am looking forward to the season and hopefully we can have some success."
Sturridge most recently struggled with hip injuries during the 2016/17 season, and missed a large chunk of the previous two seasons with hamstring problems.
