The England global limped off in Sunday's 4-1 Premier League win over Bournemouth with an injury to his right ankle, causing fears he could be a doubt for the World Cup in June.
The Premier League club says preliminary assessments show Kane damaged lateral ligaments.
Kane missed six weeks when he first injured his right ankle in the final minutes of a 1-0 win over Sunderland in September last season, leaving the pitch on a stretcher before departing the stadium on crutches and wearing a protective boot.
The England worldwide suffered the blow during the team's 4-1 victory over Bournemouth at the Vitality Stadium on Sunday.
"Disappointing to be out until next month but injuries are part of the game", he posted on Twitter.
The first one kept the forward out for 10 games, but Kane was able to return within a month of the second injury.
"Will do everything I can to get back out there asap".
According to a report from The Mirror, Kane will miss matches late into April with his third ankle ligament injury since the start of the 2016-17 season.
A product of the Tottenham youth academy, he has scored 30-plus goals in the past four seasons, but Spurs' failure to win a trophy in that time has seen Kane linked with European champions Real Madrid.
The FA Cup semi-finals, with Mauricio Pochettino's side facing Swansea City in the last eight this Saturday, are then the following weekend. However, Chelsea will be hoping to use this setback to our rivals in our advantage.