§1. The petition for restitutio in integrum suspends the execution of a sentence if execution has not yet begun.
§2. If from probable indications there is a suspicion that a petition has been made in order to delay the execution, however, the judge can decree execution of the sentence, though with suitable guarantees to the one seeking the restitutio that there will be indemnity if the restitutio in integrum is granted.
Source: Code of Canon Law (Vatican.va)