The 60-year-old, who won the FA Cup with Ron Atkinson's United side in 1985, has filmed a special documentary entitled The John Gidman Story with MUTV, which will be aired next month.
"I've been watching United and Villa with interest," Gidman told ManUtd.com.
"United have got to get a result this weekend but don't forget Villa probably need two more wins to be safe because, if the teams below them do have a bit of a run, it'll be 'squeaky bum time' as they say on TV and they could start to panic.
"I don't know about Villa's defence as I'm not sure I understand playing one-touch football back there. They were able to beat Chelsea, maybe that was down to the atmosphere at Villa Park which inspired them to go into another gear, but then they were pretty poor against Stoke City last week. The attitude was disappointing and they just didn't seem interested at times.
"So I can't see Villa going to Old Trafford and getting the three points. To tell you the truth, I think United will get a victory which will be a boost because it's not been pleasant for the supporters having Liverpool and Manchester City up there towards the top of the table."
The John Gidman Story will be shown on MUTV on Saturday 26 April at 21:00 BST.