The Argentine had to come off as soon as the second half got underway in Sunday’s 2-0 home loss and the 24-year-old will miss the festive fixtures when Spurs play three times in seven days.
But midfielder Tanguy Ndombele is available after missing the 3-1 win at Stoke City in Wednesday’s League Cup quarter-final.
“Gio no, he will not be fit,” Mourinho told reporters ahead of Sunday’s trip to Wolverhampton Wanderers.
“I don’t know (when he will return), he will not be playing in this period of Christmas and New Year for sure. Tanguy is fit but he didn’t come to Stoke. My decision, but he is fit.”
Harry Kane has played the full 90 minutes in the last four matches but Mourinho said he will ignore calls to rest the striker who has been involved in 19 league goals this season.