Before Gov. John Kitzhaber of Oregon established a moratorium on his state’s death penalty last year, Christian Longo, a death row inmate, started a campaign to allow the condemned to donate their organs.

Mr. Longo argued that a new execution protocol that many states — including Texas — have adopted leaves inmates’ organs viable for transplantation.

“While I can potentially help in saving one life with a kidney donation now, one preplanned execution can additionally save from 6 to 10 more lives,” Mr. Longo wrote in a plea that Oregon officials denied.

No state allows death row inmates to donate their organs. Although Texas recently abandoned a three-drug cocktail in favor of a single-drug method for execution, the Texas Department of Criminal Justice said it did not intend to change its policy. There are 11,000 Texans on the organ transplant waiting list.