Enoch, who played in the British Opens In 2014 and 2018, secured one of the 14 spots at the Walton Heath Golf Club in England with rounds of 66 and 70.
The 2019 U.S. Open will be held at Pebble Beach, beginning Thursday, June 13.
Last year, Enoch made the cut at the Open Championship at Carnoustie.
Enoch played for ETSU from 2007-2012 and earned an individual berth to the NCAA Championship in 2010 after sharing medalist honors in the NCAA Regional. Enoch was the 2008 Atlantic Sun Freshman of the Year and four-time all-conference performer.