Knut Secretary-General Wilson Sossion wants implementation suspended to allow time for talks, proposing a four-pronged approach.
Kisii Senator Samson Ongeri said one of the pitfalls of the rollout is the delay in formulating a policy.
Senators on Wednesday accused Education Cabinet Secretary George Magoha of exhibiting dictatorial tendencies in managing and rolling out the competency-based curriculum (CBC).
The lawmakers said some elements of the curriculum are unrealistic and urged him to halt the process and consult.
The senators were concerned that tutors, the ministry and the Teachers Service Commission (TSC) are each speaking a different language “and this could affect the rollout of the syllabus”.
They said teachers and ministry officials are not well versed with the new curriculum.
The matter came to the floor of the House through a personal statement by Vihiga Senator George Khaniri, who accused the Kenya National Union of Teachers (Knut) and Prof Magoha of hijacking the process.
“We need a structured national conversation on the rollout lest we regret as a country,” Mr Khaniri said.