Brighton have already lost their influential midfielder Yves Bissouma to Tottenham in a £30m-plus deal and will hope to keep hold of their other star performers such as Manchester City and Chelsea target Marc Cucurella and Belgian international Leo Trossard, who has been linked with Man United, Newcastle and West Ham.
Champions Man City have already made some bold moves with Kalvin Phillips joining from Leeds United and striker Erling Haaland arriving from Borussia Dortmund.
Man United are expected to announce the signing of Christian Eriksen, while Arsenal have added Brazil striker Gabriel Jesus.
Following the latest deals, Sussex World have looked at how the final Premier League table could stand come the end of next season based on every team's odds of finishing in the top four.
5. Manchester United - 5/4
The Old Trafford club finished sixth last season. Photo: Ash Donelon
6. Arsenal - 7/4
The Gunners missed out on a place in the top four last season as they finished two points outside the Champions League spots. Photo: Stuart MacFarlane
7. Newcastle United - 8/1
The Magpies have spent just under £60m this summer and are expected to be challenging for at least a Europa League spot next season. Photo: Alex Livesey
8. West Ham - 12/1
The Hammers reached the semi-finals of the Europa League last campaign as they were knocked out by eventual winners Eintracht Frankfurt. Photo: Mike Hewitt