Prime Minister Boris Johnson, pictured on Saturday (Alberto Pezzali / PA Wire), announced a national four-week lockdown, starting on Thursday.
For the month ahead,' elite' sport has been given the go-ahead, with the Premier League and Football League saying they can continue.
Steps 1 and 2 have previously been classified as elite, suggesting that although explicit guidance is awaited, they could be allowed to go on.
It is anticipated that grassroots and amateur sports will pause.
Kettering Town were the scheduled visitors to City on Saturday, who missed out after a player tested positive for Covid-19 as players and staff completed a period of self-isolation.
For December 8, the Kettering fixture was re-arranged.
York's post-isolation first league game is due to be a home match against Chester. The Seals lost 2-1 to the Gloucester City table-toppers, who maintained their perfect start to the term.
With a 2-0 defeat of Farsley Celtic, AFC Fylde went second, earning the Coasters 12 points from four games.