United manager Jose Mourinho is pushing to sign midfielder Paul Pobga and Schweinsteiger could be sacrificed to make room for the France international.
And Turkish newspaper Fanatik claim the Germany intentional may be heading to Istanbul.
Ibrahimovic, 34, has been given an extended rest period following Sweden's exit from Euro 2016 this summer.
United will play Borussia Dortmund and Manchester City during their tour of China and then Galatasaray in Sweden ahead of the new Premier League campaign.
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