Sunday's mid-table contest against the Cottagers is a dead rubber with Fulham already safe and Swansea guaranteed a top-10 finish at the end of a campaign which saw them win the Capital One Cup.
With few incentives for either side, the Liberty Stadium clash may not be expected to provide the most entertaining action of the final weekend of the season.
But Swansea can still leapfrog West Brom and claim eighth place; the Welsh club require a victory and need to hope the Baggies drop points against Manchester United.
The extra spot in the league would earn the Swans an extra £800,000 in prize money and see them top what Laudrup considers to be the second tier of the top flight.
"Sometimes as an individual and as a team you need to find your own motivation," said Laudrup. "Sunday will be our 47th game and I cannot stand there as a manager every single game and say how important it is.
"Individuals have to find their own motivation. If I was playing, my motivation perhaps would be to win our last game at home because final impressions are important.
"Winning could get us eighth position, which in my world is winning the championship because we cannot really touch the seven teams above us.
"The players have to find their own motivation because we have to agree that this is not the world's most important game."