The Swedish winger hasn’t played since late September due to a hamstring problem which the Spurs manager previously insisted he wouldn’t rush.
“Kulusevski is working,” Conte told reporters on Monday. “We will see, we will see.
“We have to go day-to-day with him and the medical service is working hard to try and get him back, but we don’t know about the game against United.”
Tottenham have previously returned to a 3-5-2 formation and, in the absence of Richarlison and possibly Kulusevski, could do so again at Old Trafford.
But Conte has asserted his desire to start with a more attacking 3-4-3 setup, which could feature Ivan Perisic in a more advanced role, or Lucas Moura or Bryan Gil.
“Lucas Moura can be a possibility, Gil can be a possibility, Perisic in a three like a striker is a possibility,” he added.
“I have another training session to make the best decision. You know we like to play 3-4-3 with the three forwards and if we can’t change, I prefer to continue playing 3-4- 3 otherwise we find a solution.
“I think we have the possibility to continue playing with the 3-4-3.”