The FB-2a category is going quickly these days but usually a couple of years. They are not considered immediate realtives until you become a U.S. citizen. when are you eligible to apply? You can also explore other nonimmigrant options for them to come sooner through a consult with an immigration attorney..
Lynne R. Feldman, Attorney at Law
Concentrating in Immigration Law
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Former Adjunct Professor -- Immigration law
University of Illinois College of Law
Usually a couple of years but quota seems to be moving faster nowadays, but then again, that could change. They are only considered "immediate relatives" if you are a USC, not when LPR. When do you qualify to naturalize? I would do that ASAP when qualify.
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We need to know what country your relative is from to give an accurate answer. The visa bulletin shows that visas are available for next month for September to October 2011 depending on the country. So about 1 1/2 years. That is just an estimate.
About 4 years.
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