The Sheffield Star already reported that the Blades would increase the pressure on Swansea over a deal for McBurnie. Apparently, the 23-year-old is at the top of manager Chris Wilder’s list of targets.
Signing at least one new forward is a priority for the club after gaining promotion to the Premier League. Brentford’s Neal Maupay is also understood to be on their radar.
Yet it is McBurnie that Wilder has set his sights on. This is despite the fact that he faces competition from Brighton and Hove Albion for the Scotland international.
Brighton are managed by McBurnie’s former Swans boss, Graham Potter. It’s believed that Potter would like a reunion with the number nine at the Amex Stadium.
However, the Blades are hoping a return to Yorkshire could convince McBurnie to come to Bramall Lane. The Scot was born and raised in Leeds.
MORE UNITED STORIES
Is Oli McBurnie on the move?
Swansea also have a new man in charge – Steve Cooper – and he has been reluctant to guarantee McBurnie will remain in South Wales this summer.
Asked whether the attacker would be staying at the Liberty Stadium, Cooper told Wales Online: “I hope so. It’s hard to come across that (his goals). Like any player, if we get an offer you can’t refuse, you have to discuss that.
“You get young players and put them in the team and they thrive, people will look, that’s normal. Anything is possible. We have to make sure we work hard to keep our assets.”
Wilder is keen on acquiring Championship players whom he believes can make the step up to the top flight.
McBurnie has certainly proven himself in the second tier, scoring 22 league goals last season. However, he also has some Premier League experience having played 16 times in the division.