The Red Devils are on a run of three straight defeats in all competitions, the second of which came at the hand of Laudrup's Swansea in the FA Cup last weekend.
A fourth successive loss when the Swans visit Old Trafford in the Premier League on Saturday would make this United's worst run since 1961, and their hopes of retaining their title appear all but over as they trail leaders Arsenal by 11 points.
But Laudrup expects David Moyes and his players to get back on track, having experienced a similar slump during his spell with Real Madrid.
The Spanish giants could only finish sixth during the 1995-96 campaign, having won the title the previous season, but hit back to win the Primera Division a year later.
Laudrup said: "I have been through a bad period with a big club myself, in my second year at Real Madrid.
"In my first year we won the league and we started the second year we badly, we lost many more games than a club like that is used to.
"We were down in sixth or seventh position which was very unusual.
"It was a difficult moment and the manager was sacked in January and another manager came in.
"But big clubs are always coming out at the end of the tunnel, they always bounce back and Manchester United will do the same like Madrid did.
"They are huge clubs and I am not only talking about the money, but the history. They will come back.
"It will take more than one result, you have to come back and win regularly.
"You can change some players to get the winning feeling back but they have that and I am sure they will get back on track. Let's just hope they wait until after Saturday and they are not too angry with us."
Laudrup's hopes of repeating Swansea's first win at Old Trafford are not helped by a lengthy injury list which sees Michel Vorm, Dwight Tiendalli, Jonathan de Guzman, Roland Lamah, Pablo Hernandez, Garry Monk, Nathan Dyer and Michu all sidelined.
With so many midfielders on that list Laudrup admits he had been tempted to recall Ki Sung-yueng from his loan at Sunderland, but did not feel such a move would be fair on the South Korea international.
"It was a possibility when you think abut the number of midfield players we have but there are a number of things you have to take into consideration," said the Dane.
"They are bottom of the table but they are in the semi-final of the Capital One Cup and he is playing all the time.
"I think I wouldn't do it as it wouldn't help either of us taking him back.
"He is playing there all the time, if I take him back and he plays sometimes or sits on the bench, you can imagine mentally how that would affect the player."