Muhamed Tijani's 88th-minute volley capped a stunning late victory to move Plymouth Argyle to within two points of safety and leave stuttering Sheffield United five points adrift of the Championship's top two.
The Blades seemed set to get their promotion bid back on track after consecutive defeats, with Jesurun Rak-Sakyi's superb first-half strike giving them a 1-0 lead going into the final 10 minutes.
But Ryan Hardie pounced from close range to level for the hosts following a half-cleared corner.
And substitute Tijani's brilliantly controlled volley earned all the points and provoked scenes of wild joy at a packed Home Park.