Robinson is out of contract in less than three months' time, and the report claims United are leading the way to sign him - although no other clubs are mentioned.
A left-back by trade, Robinson has spent much of this season playing centre-back for QPR - making 30 appearances - and can also play in midfield if required.
A typical Blades recruit...
As well as his ability to play in multiple positions, Robinson's background is another likely box ticker for Sheffield United manager Chris Wilder.
Wilder seems to like players with a point to prove, particularly those excelling at smaller clubs after losing their way with those higher up the league ladder.
Robinson - like John Lundstram and John Fleck - certainly fits that profile, having been released by Liverpool four years ago.
Is Sheffield United a good move for QPR's Robinson?