Sharp, 29, still has a year to run on his contract at Leeds United but has been heavily linked with the Blades following the appointment of his old boss Nigel Adkins at Bramall Lane.
Adkins had Sharp at Scunthorpe United before signing him for £1.8m during his time in charge of Southampton
"I think it's an obvious one," Morgan told Sky Sports. "The gaffer's had him at Scunthorpe and also Southampton.
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"Sharpy has made no secret of the fact he'd love another shot at coming to play for the club."