On Tuesday it was reported that the National League wished to resume the season “at some point” but that appears unlikely now.
A decision around promotions and relegations has not yet been finalised.
A statement from National League chief executive, Mike Tattersall, sent to all clubs last night said: “The FA have been asked to assist us with making the decisions to officially postpone all remaining National League fixtures and to end the season as soon as possible for the purposes of player contracts.
“The National League is also working with The FA to define all reasonable and practical options for the determination of the 2019/20 season, and to provide guidance to clubs on dealing with player contracts, player registrations and the application of the Coronavirus Job Retention Scheme.”
The Spireites are 19th and two points above the relegation zone after 38 matches.
The season should have ended on April 25 with 46 games played.
Chesterfield’s last match was a 1-1 draw away at Dover Athletic on March 14.