They face Olympiacos in the last 16 later this month, although Keane would not be backing them to lift the trophy come May.
"I think beating Olympiacos will be the priority," he said. "At this moment in time, would I fancy United for the Champions League? Probably not. But they're still a threat, they're still there."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball