In 2014, Lindheim joined the Web.com Tour and PGA Tour Latinoamérica. During his season on the Web.com Tour, he achieved two top-10 finishes. In 2014, Lindheim qualified for his first major championship by shooting 7-under-par in sectional qualifying for the 2014 U.S. Open. He went on to make the cut and finished in a tie for 56th. In October 2014, Lindheim achieved his first win in an Official World Golf Ranking points event by winning the Arturo Calle Colombian Classic on PGA Tour Latinoamérica. He finished 51st on the 2015 regular season money list and 39th on the Finals list, not enough to qualify for a PGA Tour card. In 2016, he earned his first win on the Web.com Tour at the Utah Championship. This win helped him finish in the top 25 in the regular season to earn his PGA Tour card for the 2016–17 season. After a disappointing rookie season, he qualified for the 2017 Web.com Tour Finals by finishing 197 on the FedEx Cup point list. He regained his PGA Tour card by winning the 2017 DAP Championship.