Obuya, one of Kenya's heroes in the 2003 World Cup, has since struggled to regain his spin-bowling action following a knee operation which cut his professional career with former English country champions Warwickshire.
But Kenyan spinner said he was looking forward to working with Jenner who is credited with helping his compatriot Warne to become the highest wicket taker in the world.
"It has been very difficult for me to get back to my bowling best after the knee injury," said Obuya, who acknowledged his lack of confidence has affected his career.
The 23-year-old player also missed the 2004 ICC Champions Trophy in England after he underwent an appendix operation earlier in the year and only returned to play for Kenya in this season's ICC Intercontinental Cup championships.
A back injury also forced him not to play in the inaugural Afro-Asia cricket tournament in South Africa in August.