Reports suggest that Sir Alex is a big fan and he had a close eye kept on the player when Rangers played Celtic recently.
The 22-year-old has been with the Hoops since last summer when he joined from Maccabi Haifa.
"Nobody will be surprised if Beram plays for a club of United's stature one day. But the most important thing for him at the moment is to win the SPL title," said agent Dudu Dahan.