Salary cap proposals will be sent to clubs in League One and Two no later than Monday, the PA news agency understands.
Clubs in the English Football League are looking at a £200m financial hole by the end of September as a consequence of the suspension of the league due to the coronavirus pandemic, according to the competition's chairman Rick Parry.
Moves to implement cost controls have been led by a working group, and PA understands the group is about to distribute proposals to clubs over what the caps should be.
"You get the odd individual who just operates on the very edge of insolvency and legality. With a wage cap, people like that would be more constrained and less able to do real harm."
Vince said at the time that he hoped a cap could be agreed to come into effect for the 2020-21 season.
"It's something that can be agreed now. We've got this downtime to work on the details, and put it in place ready (for the new season)."