You may use your visa to travel to the United States until the date it expires. However, if your visa says that it is valid indefinitely, you should apply for a new visa, or travel under the Visa Waiver Program (VWP) if eligible as all indefinitely-valid visas are now obsolete.See further down this page.he period of validity of a visa relates only to the time in which you may travel to the United States and apply for admission; it does not determine how long you may remain in the country. This is a matter for the immigration officer at the port of entry.