Cheshire East Council signed off a £91m cost saving plan earlier this year.
Mick Warren, the chair of the council’s environment and communities committee, said the plans were linked to the changes to food waste recycling.
“Financially, we have no choice but to propose a move to three-weekly black bin collections.
“It could reduce the expected costs of introducing weekly food waste collections from £1.75m per year to around £450,000,” he said.
He added the council had listened to feedback and was planning to invest in mitigation measures including the introduction of more education and enforcement officers.
Alongside the collection changes, the council is set to bring in an order to allow for £80 fixed penalty notices for those who leave bins out for days before or after bin collections.
In the consultation, 69% of people said they were against plans to bring in more education and enforcement officers.
The council has also said it recognised some households required a larger bin, and would clarify its waste policy guidance for larger households and those who need to throw away bulky medical waste.
The proposals are set to be signed off by the authority’s Environment and Communities Committee later.