That’s according to respected Italian football journalist Nicolo Schira, who says Inter Milan have also met the Parma star’s representative with a view to a New Year deal.
But it was knocked back by Kulusevski’s parent club Atalanta, who are said to be holding out for 35m euros (£30m).
Kulusevski has scored three goals in 14 Serie A games on loan at Parma this season, also providing five assists.
The teenager can play anywhere across the midfield, and caught the eye of United scouts while playing for Parma in their 2-0 win over Roma, where Red Devils defender Chris Smalling is on loan.
FCInterNews reports that Liverpool and Juventus are also admirers of Kulusevski and both are considering a summer move.
Arsenal are also believed to be monitoring developments, with Kulusevski having been on their radar since breaking into the Atalanta team two seasons ago.
But Schira says both United and Inter are aiming to scupper their rivals by bidding to sign the player when the January transfer window opens.
Kulusevski says he is not thinking about a move at the moment.
“I’m fine at Parma, I’m happy to be here, I’ve found the perfect club,’ said the teenager in quotes reported by Metro.
Asked about the possibility of a January move, Kulusevski said: “I’m playing well, so it’s normal to write about other clubs, but I don’t think about (a January move) because I have an annual deal with Parma.”
Kulusevski made his debut for Sweden over the recent international break, coming off the bench in a 3-0 victory over the Faroe Islands.