Cricket Kenya said it was dissatisfied with lack of international fixtures for the national team ahead of the 2011 World Cup qualifiers in Dubai early next year.
Kenya has only one official ODI against South Africa, but the fixture scheduled for October 30-November 1 may not take place as the dates clash with a home tie with Ireland in the ICC Intercontinental Cup tournament.
Cricket South Africa had accepted to host Kenya in the two one-day internationals in May but the matches were pushed to June before they were again deferred to November due to a tight home schedule.
"We are faced with a dilemma whether to honour the series," said Cricket Kenya chief Samir Inamdar.
"Cricket South Africa informed us today that they were only prepared to host us on these two days and yet at the same time we will be playing Ireland at home. We will have not choice but to try and switch the dates for the Intercontinental Cup."
Inamdar said he was disappointed that the top cricket nations including South Africa were not willingly to support the associates.
"We look at South Africa to support us. They made the committment at the ICC Board meeting two years ago but it seems that committment is not there now and that worries us," said Inamdar.
He said he hoped Zimbabwe would tour Kenya in July before the national team departs on a long European tour which will involve playing Scotland, the Netherlands and Ireland when they resume their campaign to win the ICC Intercontinental Cup.