The 27-year-old is keen on a £18million summer move to Old Trafford, according to the Telegraph.
United along with Real Madrid have long been linked with a move for the Roma vice-captain.
Reports claim De Rossi is ready to leave Roma after a turbulent three years in the Italian capitol. De Rossi’s father-in-law was shot and killed in a gangland revenge attack and the midfielder separated from his wife, Tamara.