The Scot, who spent 26 years at Old Trafford, admitted he “didn’t like saying it” - due to the intense rivalry that exists between United and Liverpool - but conceded that Klopp is a “good appointment” for the Merseyside outfit.
"Strong personality, very strong, very stubborn, determined and his performances, and his career at Dortmund was a stellar rise to the top and I think he'll do very well," Sir Alex told ESPN, according to the Telegraph. "I don't like saying that, being Liverpool, because I'm worried about it but, no, he'll do well."
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Earlier this week, Ferguson hinted that Klopp could succeed at Anfield by claiming his nationality had no bearing on whether or not things will work out for the German manager in his new job.
Klopp is only the second German coach to manage a Premier League club - after Felix Magath, who failed to prevent Fulham being relegated in 2014 - but Ferguson believes managers of all nationalities can succeed in England’s top flight.
"Scots, Portuguese, Spanish, French and Italians work successfully here so why not Germans?” Ferguson was quoted as telling Kicker by ESPN. “There's no reason why they couldn't approach it with confidence."
United fans will hope Fergie is wrong about Klopp
Confidence is what Klopp possesses in abundance - and he has already made a big impression on the Liverpool supporters with his first press conference, in which he spoke passionately about his new role.
Klopp was considered by Ferguson as a potential successor for himself at the end of the 2012-13 campaign - per BBC Sport - but, at that point, the former Borussia Dortmund head coach had no desire to walk away from Signal Iduna Park.
Some United fans have expressed their disappointment on social media after seeing Klopp join Liverpool - and they’ll be hoping that Ferguson’s prediction about the newly-appointed Reds boss doesn’t come to fruition.
Liverpool fans: will your team finish above Manchester United this season now Jurgen Klopp is in charge? Have your say by leaving a comment in the box below!