Cooperatives Cabinet Secretary Whycliffe Oparanya opposed the proposal, saying it would cause unrest and destabilise peace in the country.
Oparanya said the proposal does not seek to address any of the challenges revolving around the cost of living being witnessed in the country.
"The Kenya Kwanza government which I currently serve has an elaborate plan for citizens and the proposal has no impact on our plans. Increasing the term limit for elected leaders has no impact on development," said Oparanya.
Kakamega Deputy Governor Ayub Savula questioned the rationale for the proposal saying that it was impossible.
"We don't want Museveni's in this country, the solemn power belongs to the people, and the people want elected leaders to serve for five years and not seven years," Savula said.
This comes as thousands of Kenyans shared their memorandums with the Senate rejecting the proposals in the bill.
The Senate revealed that it has received more than 200,000 written memoranda from Kenyans submitting their views on a bill seeking to extend the term limits.
The window for public participation in the controversial Bill was closed on Friday, October 25.
This is the second attempt to alter the presidential term limit since President William Ruto was elected in 2022 and the first attempt was fronted by Fafi MP Farah Yakub.
Yakub had proposed the removal of the term limit and instead replaced it with an age limit of 75 years.
President Ruto was among those who opposed and promised to be at the forefront in the future to do the same in case any attempt to increase term limits was brought forward.
The controversial Bill also proposes the creation of the office of the Prime Minister who will be appointed by the president.