The Reds pulled out all the stops in the closing stages with Mitchell and Fletcher going close to grabbing an equaliser, while Goss thought he should have been awarded a penalty after a challenge from Fryer, but the appeal was waved away.
United finished the stronger of the two sides but despite the late spell of pressure they were unable to break the home defence down.
United: Henderson; Evans, Borthwick-Jackson, Ioannou (Riley 67), Barber (Thompson 67); Harrop, Willock, Goss, Redmond; Mitchell, Fletcher. Subs not used: Pereira J. (Gk), Croskery, Rashford.