At a gathering, on Wednesday the EFL board “unanimously” settled on a plan, yet now clubs need to help it.
On 21 May, the new structure was set out including the remaining advancement, relegation, and play-offs.
League Two teams have already affirmed that they mean to complete the season, however, League One sides remain uncertain.
Championship clubs whose players came back to Monday’s training hope to restart their campaign in June.
To date, two rounds of coronavirus testing have been carried out in the 24 second-level clubs, with in excess of 1,000 tests led each time.
Two individuals at Hull City tried positive in the first round announced on Sunday, while two unidentified Fulham players and Blackburn captain Elliott Bennett tried positive in the second round of testing.
On Thursday, the Premier League announced a tentative restart date of 17 June with up to six games at neutral settings. The EFL said they planned to play on the home grounds of clubs for all remaining fixtures.

Clubs were given to keep sending any alternate ideas for how the framework would operate until next Tuesday.
A 51 percent majority of Championship, League One, and League Two clubs are required to authorize the campaign curtailment in each division.
Unweighted focuses per-game will decide final league placings in all three divisions except if the separate seasons can be finished.
The National League, meanwhile, must await an EFL choice on the best way to finish up the League Two campaign before settling on their best courses of action.
The regular season is over at non-league level, yet the National League aims to retain two teams being elevated to the EFL, which could incorporate planning playoff games.