The 19-year-old's current contract at Old Trafford is due to expire at the end of the season and Juve are keen to add the French youngster to their squad on a free transfer.
The Bianconeri are willing to offer the midfielder a five-year deal worth in the region of €500,000 (£412,000) per season, according to Goal.com.
However, Pogba is believed to be delaying a switch because he has doubts as to whether a move to Italy would benefit his career.
As a result, Juve officials are said to have given him until the end of the month to make a decision on his future.
United boss Sir Alex Ferguson recently made it known that he would like Pogba to sign a new deal with the club.