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The Isthmian League have told their members clubs that they favour ending the season immediately and declaring it null and void.
The league issued a statement alongside the two other leagues at steps 3 and 4 in the National League System on Friday.
They told clubs that they will be sent a survey from the Football Association in due course, asking for their views on how the 2020/21 season should be concluded.
Isthmian League chairman Nick Robinson told clubs: "The Board of the Isthmian Football League has, together with our fellow Trident Leagues, reviewed the implications of the latest government lockdown.
"The matter was also discussed at length by The FA’s Alliance Committee earlier this week.
"In order to reach a decision that will apply across Steps 3 and 4 in the National League System, and which is informed by the views of all clubs at Steps 3 and 4, you will shortly be asked by the Football Association to provide your club’s views on whether the 2020/21 season should be terminated and, if not, what the alternative should be. This will take the form of a short survey.
"Independent of that survey, all three of the Trident League’s boards hold the view that the season should cease immediately and be declared null and void.
"The ultimate decision lies with The FA Council, following a proposal made by the Alliance Committee but no proposal will be drafted until clubs’ views have been collated and assessed.
"In the meantime, the Isthmian Football League is postponing all fixtures up to and including Saturday 6th March since there is no suggestion that the national lockdown will be lifted prior to said date."
If the season is declared null and void it will be the second campaign in a row that has ended that way due to the Covid-19 pandemic.