 On October 7, 2018 (beginning of 2019 season), Tway won the Safeway Open, for his first career PGA Tour victory, in a playoff over Brandt Snedeker and Ryan Moore.Tway birdied the last two holes in regulation to join a three-man playoff.Tway and Moore both birdied the first playoff hole, however Snedeker made par, eliminating him from the playoff.