The Welsh outfit headed into their clash with Manchester City with just one win in 11 matches, a run which cost Gary Monk his job as owner Huw Jenkins seeks a change of direction.
They travelled to the Etihad managerless and with many expecting a real drubbing, yet Swansea performed well for long periods and were unlucky to lose 2-1 to a last-minute winner.
The performance surprised many considering their situation, yet Lawrenson saw it from another perspective and blasted the players for failing to show the same desire under Gary Monk.
"If I were Garry Monk I would be so annoyed. All of a sudden those Swansea players start to play? When he's left? The players in that dressing room seriously need to have a look at themselves,” he said.
A number of Swansea players have vastly underperformed this season, with their creative players failing to make a mark in the final third and the defence uncharacteristically playing poor.
Monk secured a top-half finish last season with a club record points haul for Swansea, so one only has to question where it all went wrong for the talented young manager.
The Swans began the campaign with eight points from their opening four matches, securing a 2-2 draw at Chelsea and earning widespread praise as they defeated Manchester United 2-1 soon after.
But since then they have only managed one league win and eight goals scored. Getting their next appointment wrong could see the club struggle to retain their Premier League status.