League Two clubs have agreed to end the 2019-20 season, with promotion to be confirmed via a points-per-game system.
However, similar discussions with Sky Bet League One clubs broke up on Friday without a definitive outcome, with conversations set to resume on Monday.
The fourth-tier sides gathered by conference call on Friday and the clubs were in favour of three teams still being promoted automatically to Sky Bet League One, completing the play-offs to decide on the fourth side to go up, and with no teams being relegated to the National League.
An EFL statement read: "Having considered the protocols and costs that would be required to be met to conclude the current season, League Two clubs have unanimously indicated a preferred direction of travel to curtail the campaign in line with the framework outlined by the EFL board.
"In addition, clubs asked for consideration to be given to suspending relegation to the National League for 2019-20 as a result of circumstances created where fixtures cannot be completed. No commitments were made in this respect and the board will now consider the implications of the division's preferred approach at their next meeting."
A weighted points-per-game system looks the most likely solution to complete the table. This system takes into account the average points won both home and away, which removes the potential bias towards clubs that have played more home matches to date.
This system would not make too much difference to the current League Two standings, with the last matches played on March 10.
Crewe, Swindon and Plymouth would be promoted automatically, with the only change seeing Swindon leapfrog Crewe to finish top.
Exeter, currently three points behind the automatic spots, would have to settle for a play-off place, slipping to fifth, and would be joined by Cheltenham, who move up to fourth, Colchester and Northampton.
With these proposals Stevenage and Macclesfield, the league's bottom two clubs, would remain in the EFL.
However, any formal ending of the season does still require a similar agreement being reached by their League One equivalents and ratification of the English Football League and the Football Association.
"There were varied views shared in League One and it was determined that there would be a further period of reflection and consultation to understand what creative solutions could be implemented," the EFL statement continued.
"It was acknowledged that the need to find innovative and creative solutions was of paramount importance as was the need for decisions to be taken quickly."
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