The Blades' Under-21 coach has had his say on the Leeds forward.
Nigel Adkins was recently announced as the League One side's new manager and his past success with Sharp in his sides at Scunthorpe United and Southampton make any potential move an obvious choice, according to Morgan.
The Under-21 coach does stress that there has been no talk of Sharp signing but that doesn't stop him from saying he wouldn't be surprised to see him leave Leeds.
Indeed, Morgan says he knows the 29-year-old personally - and suggests the striker would love nothing more than a move back to Sheffield United.
He said: "I think it’s an obvious one [to be speculated on]. The gaffer’s had him at Scunthorpe, he’s had him at Southampton.
"I think Sharpie has made no secret that he’d love another shot at coming and playing for the club. I know Billy personally and I think he’d love nothing better than to come.
"Genuinely there’s been no talk, particularly between me and the manager about Billy, but it wouldn’t surprise me because of the relationship they have as manager and player and let’s face it - Billy’s track record at scoring goals."
Sharp's debut campaign at Elland Road, of course, went far from smoothly. The 29-year-old enjoyed some memorable moments in a Leeds shirt after signing from Southampton but, for the most part, struggled to maintain a regular starting berth.
Sharp at one point went public with his frustration at a lack of playing time and then boss Neil Redfearn sympathised with him.
Redfearn still felt he had to do what was right for the team, however, keeping the striker out of the side. This time around, Lee Erwin's move from Motherwell to Leeds will add even more competition for places in the final third...