United striker Oli McBurnie is one player who's been tipped to move on, with Scottish Premiership champions said to be keen on the ex-Swansea City marksman, while Blades midfielder Sander Berge is expected to leave, with Arsenal - who missed out on European football by one point - among the favourites to land the Norway international.
Meanwhile, United and Republic of Ireland ace John Egan has been reflecting on his country's struggles in the World Cup qualification campaign, and said: “Obviously, it was far from the start that we wanted, but we are still only two games in and anything can happen.
“It's going to be tough (to secure qualification), there's no doubt about that. We're definitely outsiders now, but all we can do is to look to the next game and try to get a result.
“You never know - if you get a bit of momentum, you never know. For me, it's all about the next game. At the end of the day, it's a results business, we know that. We want to win games, we want to give the country a team that they are proud to support and proud to watch.”
Here are today's biggest transfer stories and the latest team news involving Sheffield United and the rest of the Championship, as the reaction to last season and the build-up to summer transfer window continues:
1. Mitrovic could go to Serie A
Roma have been named as the favourites to sign Fulham striker Aleksandar Mitrovic this summer. The Serbia international struggled in the Premier League last season, scoring just three goals in 27 outings. (SkyBet) Photo: Catherine Ivill
2. Swans loan star unsure of future plans
Chelsea starlet Marc Guehi has revealed he's uncertain where he'll be playing his football next season, following a loan spell with Swansea. However, he's insisted he'll keep a close eye on the Swans' future endeavours regardless of his next destination. (Club website) Photo: JOE KLAMAR
3. Lees linked with Robins
Bristol City are rumoured to be plotting a move for free agent Tom Lees, who left Sheffield Wednesday following their relegation to League One. The former Leeds ace made over 250 appearances for the Owls, including 39 last season. (Bristol Post) Photo: Alex Pantling
4. Gayle could return to Hawthorns
West Brom are believed to be targeting a move for Newcastle United striker Dwight Gayle, as they look to escape the Championship next season. The £10m has thrived in the second tier with the Baggies before, scoring 23 goals on a loan spell back in 2018/19. (Mirror) Photo: MOLLY DARLINGTON