Williamson has returned to New Zealand for personal reasons, it is learnt.
He is likely to rejoin the team ahead of Sunrisers' next match against Rajasthan Royals in Jaipur on April 27.
Bhuvneshwar Kumar will lead the side in Williamson's absence as he has done previously in the tournament when the Kiwi star missed out due to an injury.
SRH are currently placed fourth spot in the points table following successive wins over CSK and KKR at home.
CSK are at the top of the standings.