Kane suffered the injury in victory over Darmstadt yesterday.
Ahead of their Champions League quarterfinal against Arsenal, Tuchel said: "(Kane) twisted his ankle in the goal netting.
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He's been applying ice to it since. We don't have any news yet.
We'll have to wait and see and hope that it's nothing major."
Kane was named in England's squad for this week's friendlies against Brazil and Belgium.