Okla. Stat. tit. 12, § 12-687
Judgment for conveyance, release or acquittance - Sheriff
may execute when party fails to do so.
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.
R.L. 1910, § 5129.