The Scottish champions are keen to sign Baldock and have made an enquiry about doing so. As yet they have received no response.
That is probably because the Blades do not want to sell Baldock, despite the fact they could pocket a decent fee for a player about to enter the final year of his current contract.
Hoops manager Neil Lennon has made signing a new right-back one of his priorities this summer. It is understood that Baldock is near the top of his wish list.
However, United boss Chris Wilder is keen to keep hold of the core group that earned his side promotion in 2018/19. They finished second in the Championship, with Baldock making 27 appearances.
In a bid to keep the full-back at Bramall Lane he could be in line to receive a bumper new deal with a significant pay rise.
MORE UNITED STORIES
Should George Baldock be sold to Celtic?
Baldock was marginally Wilder’s preferred choice as right wing-back last term. Yet Kieron Freeman was not far behind, playing 22 games in all competitions.
It could be argued that the duo were effectively sharing the role, suggesting Wilder was unsure who was his best option.
That is certainly not the case on the left, where Enda Stevens has secured the position. Stevens also looks ready to make the step up to the Premier League.
Perhaps allowing Baldock to head to Celtic Park and signing an improved replacement wouldn’t be such a bad idea. Freeman could then act as backup/competition.
Wilder has already proven he can over-achieve, getting promoted from the Championship just two years after winning League One. Many of the players who helped do that have risen through the divisions as well.
Yet this is a huge step up and sprinkling some top flight class into the squad could be necessary for the Blades.