The Japan international sealed a £6.7m return to Dortmund in the summer after he was deemed surplus to requirements at Manchester United.
Kagawa was a driving force behind Dortmund’s back-to-back Bundesliga titles in 2011 and 2012 before the 26-year-old completed a £17m move to Old Trafford.
The midfielder struggled with form and injuries at United, and while Klopp admitted Kagawa’s recent performances have been patchy, too, the Dortmund boss is backing the Asian to improve.
“Well this is not really the time to talk about individual players and say how far they are,” Klopp told his media conference at The Emirates ahead of Dortmund’s clash against Arsenal on Wednesday.
“We are trying to play football the way we can even if they’re not at their best form. Everyone has had problems.
“I think Shinji can play better, but I hope we will see that.
“I hope we can all play better. He has had a few very good games for us and a few not so great.”
Kagawa has scored one goal in 10 Bundesliga appearances this season.
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