The Sunday Post says Celtic want Blades star Sharp as part of a £6.5million double swoop alongside Andraz Sporar, of Slovan Bratislava.
They say Celts boss Neil Lennon views the pair as the perfect duo to boost his side's chances of securing nine-in-a-row.
Sharp, 33, is a Blades fan and is living the dream playing and scoring for them in the Premier League.
Boss Chris Wilder even recently shot down claims that the forward could exit Bramall Lane this month.
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