The Dutch striker has been sidelined with an ankle injury and was last in the squad at Chelsea on November 26.
Mauricio Pochettino reported on Friday that Vincent has rejoined the main group in training and would be assessed in the squad's final session tomorrow ahead of the Burnley on Sunday (4pm).
"Vincent is improving a lot and we will see tomorrow if he's available or not," said Mauricio. "He's trained with the group for the last few days and we'll see now if he's in condition to play."