Generally, on a first offense DWI, there is no restriction on leaving theState. However, if you have a probation officer, you should make inquiry with that probation officer.
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It probably will not be an issue but best to discuss it without the PO ahead of time so as to avoid any problems. Good luck.
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Not leaving the state is often a condition of felony probation; generally not for a misdemeanor. Still, it is a good idea to check with the probation office to be sure, and avoid any issues that could arise (such as impact on completing other conditions of probation).