Williamson retired from all international cricket with immediate effect in June this year.
Khawaja recently claimed that the entire Australian team was aware of ball-tampering plot in 2018.
As part of the deal, CSK acquired Liam Livingstone and Jack Edwards while Khaleel Ahmed and Nathan Ellis moved to SRH.
The IPL 2027 mini-auction is scheduled to be held in Goa on December 16.
New Zealand was bowled out for 134 runs in the second ODI in Wellington.
New Zealand was asked to bat first and managed 134 runs.