Sky Sports is reporting that Sharp will move from Elland Road to Bramall Lane after the Blades paid £500,000 for his services.
The 29-year-old began his career at the Blades and will reunite with former manager Nigel Adkins, who hinted at the impending transfer earlier this week.
"I've had Billy at Scunthorpe and Southampton and I took him on loan at Reading," Adkins said. "Billy Sharp's an excellent player who I've always admired and always liked. He's a Leeds United player at this moment in time and that's all I can say."
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