The U.S. Supreme Court blocked Ruben Gutierrezs execution about an hour before he could have been executed.
The Texas prison system last year banned clergy from the death chamber following a Supreme Court ruling that halted the execution of another inmate, Patrick Murphy, who had requested a Buddhist adviser be allowed in the chamber.
Six executions scheduled in Texas for earlier this year were postponed by an appeals court or judges because of the outbreak.
Gutierrezs attorneys had also sought a coronavirus-related delay but were turned down Friday by the Texas Court of Criminal Appeals.
The Texas Catholic Conference of Bishops has filed a brief with the high court in support of Gutierrez.