If you have TPS and wish to travel outside the United States, you must apply for travel authorization.
TPS beneficiaries have also been eligible in the past for advance parole, which provides permission to travel abroad and return to the United States, but they must apply for it separately.
The travel document usually arrives within 150 days (sometimes longer) after submitting your application. You can't leave the country until you have your approved travel document in hand, so you should expect to spend the 3–5 months after submitting your green card application in the United States.
Without an approved Advanced Parole, the TPS holder CANNOT go on a cruise. ALL cruises in the US leave US waters at some point during the trip (except for one specific Norwegian cruise in Hawaii that is only intra-island).
If you have TPS and wish to travel outside the United States, you must apply for travel authorization.
To apply for TPS travel authorization or advance parole, you must file Form I-131, Application for Travel Document. If you are filing Form I-131 together with Form I-821, send your forms to the address listed for your country.
Traveling to U.S. Territories. Undocumented individuals who hold a temporary protection (e.g. TPS/DACA-recipients) may travel to the U.S. Territories without Advance Parole.
What Is TPS? People who are granted Temporary Protected Status (TPS) are protected from removal, granted employment authorization (with an Employment Authorization Document,) and are eligible to apply for travel abroad authorization (Application for Travel Document, Form I-131).