Colchester United boss John McGreal and Peterborough United manager Daren Ferguson have both indicated they would prefer the football season to be suspended, rather than have matches take place behind closed doors, if the coronavirus outbreak continues to escalate.
The Prime Minister revealed on Thursday evening that the cancellation of sporting events is being "considered", but most matches won't be called off for the time being.
The Spanish top flight La Liga announced on Thursday that "at least the next two rounds of matches" have been suspended, and both Ferguson and McGreal would like to see a similar stance in England.
"My own take on it is quite a clear one - I think there should be a stoppage to the season," Ferguson said.
"Playing behind closed doors is not the right thing to do. I think there's plenty of time in May to make up the season. This virus is very serious and it's not going to go away.
"If you play the game behind closed doors, there's no value to that. We want to play with fans in the stadium, we want to entertain people, that's what the game's all about."
McGreal added: "The fans pay to come and watch games of football. Football is for the fans.
"It wouldn't be fair for them not to watch games of football. You're looking at the Champions League games now going behind closed doors - the levels some of those players are getting to and then playing behind closes doors. It must be soul-destroying."
The current EFL season is scheduled to finish at the end of April for League Two clubs, and early May for League One and Championship clubs.
Norwich City are due to complete their Premier League campaign at Manchester City on May 17.
Euro 2020 is then set to start on June 12, leaving very little preparation time if seasons across Europe were delayed.
UEFA announced on Thursday that discussions will be held to decide whether the tournament goes ahead at all.
"In the light of the ongoing developments in the spread of Covid-19 across Europe and the changing analysis of the World Health Organisation, UEFA has today invited representatives of its 55 member associations, together with the boards of the European Club Association and the European Leagues and a representative of FIFPro, to attend meetings by video conference on Tuesday March 17 to discuss European football's response to the outbreak," a statement read.
"Discussions will include all domestic and European competitions, including UEFA EURO 2020. Further communication will be made following those meetings."