NEW YORK (CNNMoney.com) -- General Motors won't be making a June 1 debt payment of $1 billion, a company spokeswoman said Wednesday.

The debt is due the day after GM's government-imposed May 30 deadline to have an aggressive restructuring plan in place or be left to face bankruptcy.

GM (GM, Fortune 500) said it wouldn't make the June 1 payment because as part of its restructuring, the company will be offering to exchange bondholder's debt for equity in the company.

"We're going to have an exchange offer open anyway," said GM spokeswoman Julie Gibson.

A press representative for GM bondholders was not immediately available to comment.

While GM CEO Fritz Henderson has said that bankruptcy has become "more likely" in recent weeks, he has also said that an out-of-court restructuring remains a viable option.

GM has received $13.4 billion in federal loans and could receive an additional $5 billion before May 30. Beyond that, the Treasury department task force overseeing restructuring for GM and Chrysler has not said how much more support GM might be eligible to receive if it is able to restructure and reduce its debts and other obligations.