I hope we do sign Ryan Sessegnon because he'd be wasted at Utd or Chelsea... Probably a big chance he'll ruin his career. Arsenal aren't as strong as they used to be and I think Southampton, Man City or we'd be the best place for him to grow into a world-class player. Surely that has to play a factor.
Chelsea could do with a backup for Alonso, and if he joined them he wouldn't have to leave his friends and family by staying in the same area. I'm sure they'd pay him pretty well too.
Similarly, Man City need homegrown players and a leftback so figure to throw some big offers at him too.
That said, in purely football terms, stylistically his best fit would probably be Liverpool, where he would be allowed the freedom to get forward and play his natural game under a very attacking manager who is known to trust young players. At Chelsea there's also the risk of stagnating behind a big-money signing, whereas with Klopp there is a very clear route to the first team, as he'd presumably gradually be taking over from Milner who is 32.
Whatever happens it's good to see the club being so proactive about signing up top young English players. The back 4 could be mostly English soon if we signed Sessegnon and Trent + Gomez develop as expected.