Immigration Law Questions? Ask an Immigration Lawyer.
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Generally, it is better not to travel internationally until renewed greed card is received, however, if the travel cannot be postponed, then the foreigner who has an expired green card and filed for renewal, needs to have an extension stamp in his/her passport, which can usually be obtained during an infopass appointment at USCIS.
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Generally, the sticker or even stamp in the passport would cause a delay and in most cases secondary inspection, which can last an hour or longer and given the fact that only US citizens have guaranteed right to re-enter the US, it is always up to the Border Protection officers at the airport whether to admit foreign national into the USA, it is generally not a good idea to travel, until and unless the green card is renewed, however, USCIS will generally stamp the passport right away, if there is a valid pending I90 which has not been denied.