Last year's Premier League champions sit in seventh in their first campaign under new manager David Moyes, 18 points adrift of leaders Chelsea, with Champions League qualification in serious doubt.
But Keane believes that the under-pressure Scot is not to blame, instead putting their struggles down to former boss Sir Alex Ferguson's lack of activity in recent transfer windows, with a big "rebuilding" job now on the Red Devils' hands.
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"They've kind of cut corners in terms of transfers in the last few years, they've not gone out and got the big players and it has just caught up with them this year.
"It has maybe surprised everyone how far they've slipped behind teams but now it's a case of rebuilding. If it happens in the summer then, instead of being fearful of it, embrace it - it's exciting. These can be exciting times for United. Get them back to the very top where they belong."
The 42-year-old is adamant that Moyes needs to be given plenty of time to turn things around but is pessimistic about their chances of reaching the top four.
"The man [Moyes] deserves plenty of time," Keane declared. "People have been afraid to use the word that there might be 'rebuilding' going on but that's exactly the word I would use.
"On form, at this moment in time, you have to say the Champions League is a long way off for Manchester United. Would I fancy them for it? Probably not but they're still a threat, they're still there and, with their big players like Wayne Rooney and Robin van Persie back up to speed with their fitness, United will be a dangerous team if they can get their act together over the next month or two."