On the same ground where his team won for the first time in their history in the FA Cup last weekend, they slumped to a defeat that means they have now collected just three points from their last seven games and are only one win above the relegation zone.
"Manchester United were very focused because of what had been said and written in the last days," he said.
"We expected them to come out from the first moment and want to get on top.
"I don't think that happened. We coped very well. What really hurt us - and we talked about it at half-time - was the first 20 minutes of the second half. We conceded after 90 seconds.
"But nothing has changed.
"It is true we have to improve the level of performance like another nine or 10 teams.
"We are still in the same position. I said before the competition started there are 11 or 12 teams [in a relegation battle]..
"After the Tottenham game (on January 19) we have Fulham, West Ham, Cardiff and Stoke. They are the tie-break opponents for us.
"In those game we have to pick up points."
Laudrup also confirmed he would not be calling Ki Sung-Yueng back from his loan spell at Sunderland, even though the South Korean has been in excellent form recently and took his tally to three goals in eight games with his effort at Fulham on Saturday.
"There is a possiblilty to bring him back but I don't think it is a good idea," said the Dane.
"Ki feels comfortable where he is now. If we take him back, he would not play every game. Mentally, it would be very bad for him."