Fellow Premier League side Brighton and Hove Albion are also said to be keen. Meanwhile, Derby County and Leeds United head up those looking at Brownhill from the Championship.
How much the 23-year-old would cost isn’t specified. However, as Brownhill is under contract with the Robins until 2021 they would be under no pressure to sell.
The former Preston North End man certainly had another impressive season at Ashton Gate in 2018/19. Brownhill scored six goals and provided four assists in 49 games in all competitions.
This included netting the winner against Huddersfield Town in the third round of the FA Cup.
Do Sheffield United need Josh Brownhill?
The Blades are in the market for a new midfielder, but the Sheffield Star says they want a number ten. While Brownhill does like to venture forwards, it would be more accurate to describe him as a box-to-box player.
Yet it could be argued that they also need support in the middle of the park. Josh Fleck and Oliver Norwood formed a fine central midfield partnership last term.
Between them Fleck and Norwood provided 18 league assists as Chris Wilder’s men finished second and secured automatic promotion.
Both look ready to make the step up to the top flight and are likely to continue in their roles in 2019/20. However, behind them John Lundstram provides the only natural alternative in the squad following the release of Paul Coutts.
Therefore, Wilder looking at a young and tenacious midfielder like Brownhill does not seem that unlikely. The only issue would be, as previously mentioned, how much the Robins star would cost?
Especially as it is reported by the Daily Mail that Wilder will have just £20m to spend on new players this summer.