I was granted asylum from Ukraine and I have my green card. I'm planning to travel to Russia for 3 weeks. (I'm not going to Ukraine, I'm just planning to use Ukrainian passport since Russia is visa-free for Ukrainian passport holders).
Simply put, it is not recommended. Instead it is recommended to apply for a refugee travel document.
The above is intended only as general information, and does not constitute legal advice. You must speak with an attorney to discuss your individual case.
Applying for the Ukrainian Passport may raise the problem of fraud on asylum case and might harm your entrance to USA after your visit. Apply for Refugee Travel Document then travel to Russia. It might take about 3 months and more to receive your travel document so do it ahead of time.
Not recommend, better to file for and use a refugee travel document.
Attorney Robert Brown's (former INS Director, 1972-99) reply to your question is general in nature, and does not constitute legal advice as all facts are known to him. For specific advice or representation you should retain an attorney experienced in immigration law. Mr. Brown's reply on AVVO does not create an attorney/client relationship not constitute legal advice.
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