WASHINGTON (AP) — About 350,000 more illegal immigrants than previously thought could earn an extra two years in the U.S. when President Barack Obama’s new policy takes effect next week, according to the Migration Policy Institute.

Under the Deferred Action for Childhood Arrivals program, students age 30 or younger who are enrolled in school on the day they apply will now be eligible for a two-year reprieve from deportation if they demonstrate that they came to the U.S. before their 16th birthday; lived there for the past five years; and have not been convicted of certain crimes or pose a national security threat.