That sent Laudrup into the international break with a smile on his face and by the time Swansea play again, at home to Liverpool on September 16, he hopes to have another option up front.
Speaking ahead of transfer deadline day, he said: "I've been asked about a lot of players and I've always said we want one more striker with different characteristics to Wilfried Bony and Michu," he said.
"We will add one tomorrow. We've had five, six, seven players linked and one will join, but not more than one.
"We have to go into the last day (of the window) having not done everything which is not ideal because it will be a crazy day, but hopefully we'll finish in time.
"I don't want to go into details but let's say we hope to finish it as quickly as possible."
Laudrup was delighted to be leaving The Hawthorns with three points in the bank, admitting that his side's tough opening fixtures had placed real significance on the result here.
"We knew it was very important for us to get something out of this game," he said. "When we saw the fixtures before start of the season - starting against the champions and then Tottenham away - we knew it was difficult. Then you look at squads in our league, as I call it, teams like West Brom and try to get something.
"It's not easy when you come here but it was a great win and great performance.