Okla. Stat. tit. 12, § 12-723: Stay

(a) If the judgment debtor shows the district or superior court

of the county in which the judgment is filed that an appeal from the

foreign judgment is pending or will be taken, or that a stay of

execution has been granted, the court shall stay enforcement of the

foreign judgment until the appeal is concluded, or until the time

for appeal expires, or until the stay of execution expires or is

vacated, upon proof that the judgment debtor has furnished the

security for the satisfaction of the judgment required by the law of

the state in which it was rendered.

(b) If the judgment debtor shows the district or superior court

of the county in which the judgment is filed any ground upon which

enforcement of a judgment of that court would be stayed, the court

shall stay enforcement of the foreign judgment for an appropriate

period, upon requiring the same security for satisfaction of the

judgment which is required in this state.