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You may travel to the US up to and including the day on which your visa expires. The US does not require you to have a valid visa to be in the country. When you enter, you will receive a stamp in your passport which will indicate the date by which you must leave. This will also be recorded in the online I-94 database.
Source: https://travel.state.gov/content/visas/en/general/visa-expiration-date.html