The Tottenham striker went off injured in the first half of his team's 4-1 victory over the Cherries. Despite receiving medical treatment, the 24-year-old couldn't continue and walked down the tunnel, sparking fears of a lengthy injury lay-off.
After the game, manager Mauricio Pochettino admitted he was "concerned" by the issue, sparking fears that Kane's club season could be over, while his participation in England's World Cup campaign in Russian Federation was also thrown into doubt.
Tottenham are back in Premier League action following the global break with a trip to top-four rivals Chelsea on April 1.
Jack Wilshere in line for England recall for Holland and Italy friendlies
England manager Gareth Southgate insisted his side must learn to cope without star striker Harry Kane in case he should miss this summer's World Cup .
"Disappointing to be out until next month but injuries are part of the game", Kane said on Twitter.
"Will do everything I can to get back out there asap".
An extended absence for Kane is a major blow for Spurs as the north London club fights to secure a top-four finish and qualify for next season's UEFA Champions League.
He will miss Tottenham's FA Cup quarter-final at Swansea City this weekend and England's friendly internationals against the Netherlands on March 23 and Italy on March 27. However, Chelsea will be hoping to use this setback to our rivals in our advantage.
There were claims in newspapers this week that Kane could be ruled out for six weeks with the problem.