The Black Cats had gone in 1-0 down against Hull on Tuesday, but they were much improved in the second-half and they ended up rescuing a crucial point through Jack Rodwell's goal.
It was a massive result in their season and Larsson has explained that Poyet's half-time talk had an impact on them being able to turn the game around.
“We said at the break that it is now crunch-time and we had to stay mentally strong to make sure we get something from the game," the Swedish midfielder said. “I don’t think anyone would have had any complaints if we had won the game, especially considering our performance in the second half."
If Sunderland had lost to Hull their chances of survival would have started to look bleak, but a draw means that they still have daylight between themselves and the bottom three.
The Wearsiders are currently four points clear of the drop zone and, although that is not a big enough gap to make them completely comfortable, their Premier League status looks far more secure than it would have done had they lost at the KC Stadium.
The challenge for Sunderland now is to carry the momentum that they have from their comeback into their remaining fixtures this season.
Poyet's side have lacked an attacking threat throughout the campaign and unless they can find a way to be as threatening as they were in the second-half against Hull on a consistent basis, they could be set for a very nervy end to the season.