The Caribbean power hitter has been an inevitable asset for KKR since 2014.
The mystery spinner lifted the IPL title in 2012 and 2014.
The New Zealand pacer was quite expensive in the last edition.
KKR traded him from Gujarat Titans ahead of the 2023 auction.
He is the first Namibian cricketer to play for KKR.
Wiese represented RCB in the 2015 and 2016.
He joined the Kolkata side last season for Rs 10 crore.
The Bangladeshi pair might be shown the exit door ahead of the 2024 auction.
The 36-year-old featured in 8 games last season and managed to pick one wicket.
KKR might also turn their back on Anukul Roy, Kulwant Khejroliya and Mandeep Singh.