The 22-year-old striker sat out Thursday night's 3-0 demolition of Fiorentina in the Europa League with a broken nose, with Nacer Chadli leading Spurs' forward line to mixed reviews on that occasion.
With Tottenham challenging for the Premier League title, a fit-and-firing marksman is key to their chances, and the Argentine expects the England international - who has netted 16 league goals this season - to face the Swans this weekend.
"We need to assess him day by day," he told reporters, as quoted by the Daily Mail.
"On Thursday he was on the training ground, he ran, he made some exercises and we are happy with the way he is. We will see. We hope he will be available for Sunday."
Victory over Swansea is imperative for Pochettino's men to keep pace with Leicester who saw off Norwich on Saturday afternoon.
Arsenal, who sit third behind Spurs on goal difference, are also in the mix, but the Gunners' significantly inferior goal difference means that they are unlikely to overtake Tottenham if both of them win this weekend.
Arsene Wenger's men face a tricky visit to Old Trafford to face Manchester United, where defeat could leave them five points off the pace depending on other results over the weekend.