Okla. Stat. tit. 12, § 12-1036: Suspending proceedings - Bond

The party seeking to vacate or modify a judgment or order, may

obtain an order suspending proceedings on the whole or part thereof;

which order may be granted by the court, or any judge thereof, upon

its being rendered probable, by affidavit, or by exhibition of the

record, that the party is entitled to have such judgment or order

vacated or modified. On the granting of any such order, the court,

or judge, may require the party obtaining any such order to enter

into an undertaking to the adverse party to pay all damages that may

be caused by granting of the same.