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Rayudu could become the second Indian after Pravin Tambe to play in the CPL.
Thomas, who last played for the West Indies in August, 2022, has been charged with seven counts under the ICC's anti-corruption code.
West Indies legend Chris Gayle is a brand ambassador of the tournament called 'The 6ixty'.
The CPL is scheduled to get underway from August 28 with the final to be played on September 19, while the remaining part of IPL is likely to be held from September 18 to October 10, not leaving the players with any time to settle down.
The two-time winners had signed Khan as a replacement for the injured English seamer Harry Gurney ahead of the tournament.
Pollard led Trinbago Knight Riders to triumph in the CPL on Thursday.
The leg-spinner, who has retired from first-class cricket, will need a No-Objection Certificate from the Board of Control for Cricket in India to play in the CPL.