The Swans have registered one win - and taken just five points from a possible 21 - since their 5-0 hammering of Bradford City in the Capital One Cup final.
Initially looking at a possible top-six finish two months ago, Laudrup is aware that Swansea are in danger of slipping into the bottom half of the table before their league campaign is over.
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"We have to accept that the results have been disappointing, but its not my job to find excuses – I want to find solutions, but the fact is that is our only win so far after the final and we are trying to change that.
"We know we have some difficult games coming up. We are still ninth, however, and that says a lot about what we did up until the cup final – I think we over performed in terms of points."
Manchester City are the visitors to the Liberty Stadium on Saturday in what has been a testing run of fixtures for the Swans - having lost to the Champions League-chasing trio of Arsenal, Tottenham and Chelsea in recent weeks - and Laudrup expects another tough test for his side.
"They are a great team with fantastic players," he continued. "They have some physical players, but [David] Silva, [Carlos] Tevez, [Samir] Nasri and [Sergio] Aguero are fantastically gifted.
"If they put four good players on the bench then they can just put four other top players in the starting line-up - that is what we are up against.
“Last weekend we faced some top players and we have to be at our best this weekend, otherwise it will be very difficult. We have shown this year that we can beat the great teams, but your performance level has to be high."