Appointed in 2013, Pochettino led Southampton to an eighth-placed finish in his first full season prior to his appointment at White Hart Lane.
The Saints are currently 10th in the Premier League table, while Spurs are second, 10 points behind leaders Chelsea.
Reports have suggested that Spurs are hopeful that Kane will return within seven weeks, meaning that he could face Chelsea in the semi-final of that competition.
Danny Rose, meanwhile, is yet to recover from a knee ligament injury, meaning Ben Davies will likely continue to deputise at left back. Erik Lamela, too, remains on the sidelines with a hip injury, and is certain to miss out.
Spurs have no players suspended for the encounter with the Saints.
POTENTIAL TOTTENHAM LINE-UP
Spurs are set to play in their usual 3-4-3 formation, but it remains to be seen if Vincent Janssen or Son Heung-Min will be trusted to deputise for Kane up front.
Janssen has endured a difficult season at Spurs but he scored his first goal from open play against Millwall at the weekend, and may be selected in the hope that the strike will spark a scoring run.
Son, meanwhile, has scored seven Premier League goals thus far this season compared to Janssen's one, and is the more dynamic presence through the middle.
Elsewhere, Davies - fresh from signing a new contract at the club - will continue on the left, while Dele Alli will hope to continue his fine form off the lone striker.
SOUTHAMPTON TEAM NEWS
The Saints have a number of long-term injury absentees as they prepare for the encounter with Tottenham.
Virgil van Dijk faces another month on the sidelines after suffering an ankle injury, while Charlie Austin also remains injured following a shoulder problem.
Goalkeeper Alex McCarthy continues to struggle with a hamstring injury, while Matthew Targett and Jeremy Pied continue to work towards a full recovery.
Southampton beat Watford 4-3 last time out, and will hope to build on that against Spurs.
BEST OPTA MATCH FACTS
Mauricio Pochettino has lost just one of his five Premier League games against his former team Southampton (W3 D1 L1), although it came in the last meeting at White Hart Lane in May 2016.
Spurs have played 12 games this season in all competitions without Harry Kane - nine of which have come against top-flight opposition. In those nine games, they have scored just eight goals and have won just three (W3 D4 L2).
Manolo Gabbiadini has found the back of the net in each of his last seven competitive appearances, including all four games for Southampton and in the three prior to his move for Italian side Napoli (nine goals in total).
TV COVERAGE & KICK-OFF TIME
The game is due to kick off at 14:15 GMT on Sunday, and will be televised in the UK on Sky Sports 1.