Rafa Benitez’s side were beaten 3-2 at Carrow Road on Saturday.
A dramatic injury-time goal from Martin Olsson decided the Premier League game.
While Newcastle’s position now looks hopeless, Norwich manager Neil cited the example of leaders Leicester City – who were bottom at this time last year – when asked if he saw any way out for United.
“I think it’s always tough,” said Neil.
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“There are seven games left, so you need to put a real good run together, I don’t think there’s any questions about that.
“They’ve got real qualities players, there’s no doubts about that. It is a real hard one.
“Are they capable of doing it? I think if you look at Leicester last season, they managed to do it.
“There’s a lot of football still to be played.”
But Neil added: “I’m entirely convinced I have enough in my squad to remain in this league. I think (the Newcastle win) will go a long way to helping that.”