The premiers accepted Kenney's final offer after discussing it during a phone call Thursday afternoon, CBC News has learned.
The provinces say the final offer is "a good compromise" they can work with, a source close to the negotiations told CBC News on Thursday.
The provinces say the final offer Kenney sent them last Friday moved a long way from the original proposal made in the March 2013 federal budget. The proposal came as a surprise because they were not consulted on it.
Quebec will continue to negotiate directly with Kenney as it is still seeking an option to opt out with full compensation.
While a formal response is currently being drafted, the announcement will not be made public until Friday morning.
The Canada Job Grant has been touted as the government's efforts to match skilled workers with unfilled jobs.
Kenney's final offer gives the provinces the liberty to choose where the funds for the grant will come from, but the provinces will still have to find internal savings to protect current programs they say are helping Canada's most vulnerable.
The grant will allow employers to offer workers up to $15,000 in training toward an opened job.
The provinces have an extra three months, until July 1, to get the grant up and running.
More to come
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