Two International Cricket Council (ICC) officials arrived in Kenya on Tuesday to carry out investigations linked to the Maurice Odumbe inquiry.
They are expected to interview players who represented Kenya between July 1999 and June 2000 over the next two days.
Former Kenya captain Odumbe was banned for five years by his national cricket board in August for inappropriate contact with a bookmaker. Former Zimbabwean Supreme Court Judge Ahmed Ebrahim, in his report on the case, said Odumbe's behaviour had been "dishonest and devious".
Odumbe's estranged wife alleged during the tribunal that up to six other players were also involved.
Kenya have been pressing for test status after a strong showing in the 2003 World Cup.
The ICC investigators may struggle to contact all the players they would like to interview.
Kenya Cricket Association (KCA) general manager Sammy Obingo said medium-pace bowler Martin Suji and opening bowler Thomas Odoyo were set to fly out on Tuesday to play club cricket in South Africa and Bangladesh.
Steve Tikolo, who captained Kenya to the 2003 World Cup semi-finals, and Collins Obuya said last week they would be unavailable because of playing commitments abroad, while Nairobi lawyer Alan Kosgey said eight other players would not appear because they had not been given enough notice.