Spurs also revealed he faces a battle to be fit for the north London derby against Arsenal at Wembley on March 2.
In a statement released on Twitter on Tuesday, they said: “Following preliminary assessments, we can confirm that @HKane has damaged ligaments in his left ankle, sustained during Sunday's match.
Harry Kane suffered ankle ligament damage against Manchester United (Image: GETTY)
Kane went down under the challenge of Victor Lindelof (Image: GETTY)
Kane said he will work hard to get back fit in a message to fans on Twitter (Image: TWITTER)
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“He will continue to be monitored by our medical staff as he commences rehabilitation and is expected to return to training in early March.”
Boss Mauricio Pochettino admits Kane’s absence is a worry for him and he has a lack of suitable replacements as Heung-Min Son has gone to the Aisa Cup with South Korea.
Son stood in for Kane to good effect when he was absent last season but Pochettino might now be forced to bring Fernando Llorente in from the cold.
Spurs are also without Heung-Min Son who has gone to the Asia Cup with South Korea (Image: GETTY)
The Spaniard’s six appearances in the Premier League this season have all come from the substitutes' bench and he has clocked up just 36 minutes of action in those games.
However, he started the 7-0 victory over Tranmere in the FA Cup and netted a 24-minute hat-trick against the League Two side.
Pochettino also has the option of using Lucas Moura as an out-and-out striker.