The Swans were denied a 3-2 win over the Potters before the international break thanks to a stoppage-time penalty from Charlie Adam, the third time in four games Swansea had conceded an equaliser in added time.
And, despite nearly two weeks' having passed since the game, Laudrup still feels aggrieved, but hopes it can spur his side on against the Cottagers.
"It's been there for weeks," he said. "We've had other games where our opponent has scored very late, in different ways but when it happened like it did...
"Coming back from 2-0 down for that to happen, then to not have a game for two weeks was like a knock to the head, but what does not kill us makes you stronger and I am sure it will.
"It is important for the future as well because as a team at the moment we expect things are going to go against us, we have to get out of that.
"It's not just about the game on Saturday, we have many games coming up and we have to collect some points so we can go into the second-half of the season."
He added: "I would have preferred to go straight into this game (after facing Stoke), we were so frustrated and angry and it would have been good to play again three days later."
Laudrup also confirmed his intention to add at least one new face to his squad, but was coy when it came to the possibility of Blackpool winger Tom Ince being a January arrival.
Swansea chairman Huw Jenkins expressed his admiration for Ince earlier this week, but Laudrup said: "There are 10 games before we can do anything in the transfer window.
"I don't know what we can do in January, although I can say it won't be much.
"If everyone stays, maybe one will come in. I don't want to comment on Ince, he is a talented player and we will see what happens in the next month and we will see what we need.
"I have an opinion on what we need now, but that can change in a month. We won't do much because overall I have confidence in this group."
Laudrup also confirmed that forward Michu remains on course to return from his ankle and knee injuries for the home meeting with Newcastle on December 4, with Pablo Hernandez another absentee.
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