Okla. Stat. tit. 12, § 687

When a judgment shall be rendered for a conveyance, release or acquittance, in any court of this state, and the party against whom the judgment shall be rendered does not comply therewith by the time appointed, such judgment shall have the same operation and effect, and be as available, as if the conveyance, release or acquittance had been executed conformably to such judgment; or the court may order such conveyance, release or acquittance to be executed in the first instance by the sheriff; and such conveyance, release or acquittance, so executed, shall have the same effect as if executed by the party against whom the judgment was rendered.