Blackpool Preston North End and their Championship rivals continue to be kept busy though as recruitment ramps up ahead of the new campaign.
Clubs have until August 31 to complete any deals, but sides will want to get their houses in order before the big kick off.
Here's all the latest transfer news and gossip:
5. Blades up their demands
Sheffield United have told Arsenal to up their bid for goalkeeper Aaron Ramsdale to £32m. The 23-year-old was a part of the England squad for Euro 2020 (The Times)
6. Baggies ready to listen to offers
West Brom would entertain offers of £12m for former PNE goalkeeper Sam Johnstone. The Baggies wanted £20m earlier in the window, but the club has lowered its asking price due to the 28-year-old being out of contract in a year’s time (The Athletic)
7. Baggies make approach for Lonergan
West Brom could look to former PNE keeper Andy Lonergan as a potential replacement should Sam Johnstone depart. The 37-year-old spent the second half of last season on loan with the Baggies from Liverpool (The Athletic)
8. Favourite emerges for Swansea position
John Eustace is the early favourite for the vacant manager’s job at Swansea City. Cameron Toshack, Russell Martin and ex-PNE boss Alex Neil are also high up in the bookies’ odds. The Swans are looking for a new boss after Steve Cooper left after two seasons in charge (Various)