The Oklahoma Court of Criminal Appeals issued the order about three hours before Glossip's scheduled afternoon execution for the 1977 death of motel owner Barry Van Treese.
Only months ago, Glossip's challenge to lethal injection was rejected by the U.S. Supreme Court.
The move came amid concerns, expressed by Glossip's supporters and attorneys, about his trial and the way the state planned to execute him. The appellate court said it needed time to consider several motions that Glossip's attorneys made less than 24 hours before the scheduled execution, including one asking for an evidentiary hearing.
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