Swansea manager Laudrup watched his team secure a first Premier League home win in nine games at the expense of the Black Cats on Saturday, with three goals in seven second-half minutes helping them to a 4-0 victory.
The points moved the Swans into mid-table; they had been sitting above the relegation zone on goal difference alone prior to this weekend’s action.
Defeat for Sunderland in Poyet’s first game in charge left the Wearsiders firmly rooted to the foot of the table with a meagre one point from eight games, equalling the worst start to a Premier League season.
But Laudrup believes it is far too early to be writing off Sunderland and Poyet.
“There are still 30 games to go, if you suddenly get two wins and six points you are right there,” he said.
“I know in this moment it seems very difficult for them, but sometimes you just need a little bit of luck in one game and you can win it 1-0 and you are back again.
“You see it with a lot of teams in different competitions. You can never say they are out of it. I always say things are decided during the last two months of the season. I have never seen a team win the title or get relegated in October, November or December.”
For his part, Poyet, once a managerial target for Swansea, told his players they need to be mentally strong if they are to extract themselves from their current predicament. “We need strong characters on the pitch. Players who are strong mentally,” he said.
“I had watched Swansea four times this season, but I was not playing, so no matter how well I know Swansea it is up to the players to sort it out on the pitch. .
“They found it difficult in the first half against us, but they kept on doing it. That is a style and consistency you need at any level. We don’t have that and we need to get it quickly.”
SWANSEA: Vorm, Rangel, Chico, Amat, Ben Davies (Taylor 51), de Guzman, Britton, Dyer, Michu, Routledge (Pozuelo 81), Bony (Vazquez 75).
SUNDERLAND: Westwood, Celustka, O’Shea, Roberge, Bardsley, Larsson, Cattermole, Gardner, Johnson (Borini 61), Giaccherini (Colback 61), Fletcher (Altidore 82).
Referee: Craig Pawson (South Yorkshire).