The striker was substituted shortly after scoring Liverpool’s third goal, having appeared to hurt himself while lifting a deft finish over the head of Bayern goalkeeper Sven Ulreich.
Jurgen Klopp was left hoping that the problem was “nothing serious” but Sturridge himself played down suggestions he may be sidelined for some time after the match.
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“It just a little bit of tension kicking off,” he said. “I've done a lot of running and a lot of work. We train on the morning of the games. I think it's just a bit of fatigue to be honest. I'll be okay.
“I'm feeling great, I've put in a lot of work, I trained a lot in the summer in LA. I haven't missed many sessions here, they're looking after me, we have done triple sessions and things like that.
“I've trained nearly every session. I'm feeling the best I've felt for a little while and I'm looking forward to the season and hopefully we can have some success.”
Sturridge’s strike followed goals from Sadio Mane and Mohamed Salah as Klopp’s side progressed to the final of the pre-season mini-tournament in Munich.
Liverpool will play Atletico Madrid on Wednesday after Diego Simeone’s men beat Napoli 2-1 in Tuesday’s other semi-final
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