The Division One club are reported to be on the brink of administration as they negotiate a £350,000 debt with Her Majesty's Revenue and Customs, and failed to pay salaries on Thursday. Scottish players' union chief executive Wishart believes the team could take matters into their own hands.
"Our opinion is that the club has fundamentally breached the players' contracts," said Wishart.
"Why is there money in the bank and yet the club can't pay the wages? That's the fundamental question that hasn't been answered.
"I don't think it's fair that it is dragging on. There are a lot of people in the dark here. We have advised the players to continue to train, but there will come a time when players can't justify training because of the costs involved."
Dundee manager Gordon Chisholm said yesterday that the club were holding talks with insolvency practitioner Blair Nimmo in the hope of reaching an agreement on their tax bill.
Asked whether administration was a real threat for the Dens Park club, Chisholm said: "Without doubt."
Wishart confirmed the players had been paid half the wages they were owed on Wedensday but admitted the union have failed to open a dialogue with the club.
He told Press Association Sport: "We've been getting our information from the manager, nobody at the club has spoken to us.
"The players and staff are the ones who are hit hardest by this and the frustrating thing is it is out of their hands."