The inquiry, due to start in Nairobi on May 19, will be presided over by Zimbabwean judge Ahmed Ebrahim and will also involve the Kenya Cricket Association (KCA).
Kapila, a Kenyan of Indian descent, is a scion in the law firm headed by his father Achhrro Kapila, who represented Kenya's founding President, the late Jomo Kenyatta, in a pre-independence trial in 1953 by the British colonial Government for involvement in the Mau Mau freedom movement.
Kapila, who confirmed that he will represent the 34-year-old all-rounder, said he was waiting to be served with the papers by the ICC'S anti-corruption and security unit.
Odumbe is alleged to have received payments from at least one illegal Mumbai bookmaker in India in 2002 to solicit his hand in bribing teammates to underperform in matches.
If found guilty, Odumbe, the country's most outstanding cricket player, faces a life ban.