Premier League football has been tentatively suspended until April 30, although authorities have promised the season will be concluded.
And Wilder, whose side is pushing for European qualification, supports the decision.
"The players have a responsibility to be ready if and when the season restarts," he told the Daily Mail. "I have 100 per cent faith that they will look after themselves.
"They've worked unbelievably hard to get into this situation this season, they have worked unbelievably hard to get into the Premier League and they are a really tight group as well.
"At first, I didn't want to play the remaining games behind closed doors but my point of view now is that, if that is what it has to be in order to finish the season, then that is what it has to be.
"There's no compromise in this. We have to finish the season, however long it takes.
"The idea of freezing positions as they are now is not for me, even though you look at the table and think it wouldn't be a bad result for this club from a selfish point of view.
"Everyone will look at it from a selfish point of view and they have to come out of that. The Premier League season is a race. It is 38 games. No matter how many points somebody is ahead or how many points somebody is behind, it's sport and anything can happen.
"If it means not going to Newcastle in front of 50,000 people, not playing Arsenal in the FA Cup quarter-final in front of 30,000, not going to Manchester United in front of 75,000, it will be a disappointment.
"But there is a bigger picture here in terms of public health. We put that in perspective and so it won't wreck our season. When football resumes, I'm positive we will be able to finish the season on a high."