Fernando Llorente sank Burnley with two towering headers before Martin Olsson admitted Spain's World Cup-winning striker has his own Swansea team-mates running scared.
Llorente settled a controversial Liberty Stadium clash as his stoppage-time winner secured a 3-2 victory to lift Swansea five points clear of the Premier League relegation zone.
It was Llorente's 10th league goal since the end of November, and only Tottenham striker Harry Kane and Arsenal forward Alexis Sanchez have scored more in that time.
And Swedish full-back Olsson revealed that no-one messes with the 6ft 4ins former Juventus and Sevilla star on the Swansea training ground.