H-1B Visa Slots Still Open, Weak Economy Blamed A U.S. visa program that's critical for bringing overseas talent to Silicon Valley and Wall Street usually fills up quickly. The Wall Street Journal reports the H-1B program has many spots unfilled. Last year, all 65,000 visas were taken in one day. Nearly 20,000 spots remain open. One reason is the recession: Companies aren't hiring workers here or from abroad.