Orient face a winding-up order over an unpaid tax bill and will have the case heard at the High Court on March 20.
The east Londoners are now within five points points of safety after an emphatic win in Wales.
Manager Danny Webb said: “The result is massive. I understand the future is the biggest worry for the fans right now.
"Hopefully that gave them some respite, and gave their minds some rest, for Saturday evening at least.
“It has been one hit after another with a lot of things.”
Saturday's victory was particularly special for Josh Koroma, who netted a hat-trick at Rodney Parade.
Up next for Orient is a home clash against mid-table Grimsby on Saturday.