The 26-year-old underwent surgery on a hamstring injury on Saturday after rupturing a tendon in Spurs’ New Year’s Day defeat at Southampton.
He is expected to return to first-team training in April, but Mourinho’s recent comments have put a three-month comeback in doubt.
When asked for an update on Kane’s return on Monday, Mourinho suggested there could be some doubt surrounding his availability for Euro 2020.
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The Tottenham manager said: “News on Harry we don’t have and if you ask me every time we come here the answer will be the same.
“We expect him to be out until, I don’t know, mid-April, end of April, May, next season I don’t know.
“I have no updates to give on Harry.”