The NSSF is part of a consortium planning to build a new road, aiming to help reduce traffic and improve travel between Nairobi and Nakuru, two major cities along the busy highway.
Kahiga is currently facing heavy political turbulence over his statements made on Tuesday, despite issuing an apology that has done little to calm the storm.
Governors have been under pressure to create jobs and increase local revenue, with many counties on the spot over low collections affecting their development budget.