The action indicates that the delay may only be temporary.
Chrysler has said a delay could scuttle the deal.
A federal appeals court in New York had earlier approved the sale, but gave opponents until 4 p.m. EDT Monday to try to get the Supreme Court to intervene.
Ginsburg issued her order just before 4 p.m., when Chrysler would have been free to complete the sale of most of its assets to Fiat.
Ginsburg could decide on her own whether to extend the delay or ask the full court to decide. It is unclear when she or the court will act.
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