Kyle Walker-Peters will go the other way in a separate deal after a successful loan spell with the Saints.
With Hojbjerg on his way to the Tottenham Hotspur Stadium, Jose Mourinho will focus on Celik, Lille’s talented 23-year-old full-back.
The Turkish international was a key player in the LOSC side that finished fourth in the 2019-20 Ligue 1 season.
And he is top of Mourinho’s list of targets to reinforce Spurs’ right-back position this summer.
Lille could sell Celik for around £18m (€19.9m), an affordable price for Tottenham with their limited budget.