Officials from emissary provinces New Brunswick, Prince Edward Island and British Columbia will sit down Tuesday with Kenney, the federal employment and social development
The meeting in Toronto comes after all the provinces and territories reached an agreement on a counter-proposal last week.
The federal government has faced criticism over its plan, which would see successful programs have their funding cut. Critics also say the program could adversely impact the most at-risk groups including older workers, people with disabilities, and First Nations people.
They've agreed to measures that would give them more leeway in how they fund the program, and also make it less financially onerous for small businesses to take part in the program.
A spokesman for Kenney says the minister has listened to the provinces and ``significantly'' restructured the offer based on their feedback.
Under the original proposal, the government would have issued $15,000 grants to eligible Canadians, with the cost divided three ways between Ottawa, the provinces and interested employers.
The provinces are poised to make Jason Kenney a counter-offer on the Canada Job Grant that they hope will result in a deal on the proposed national job training program.