In the 2014–15 season, Morris qualified for the Wuxi Classic and the International Championship but lost in the first round of both tournaments. For the second successive year he reached the fourth round of the UK Championship, defeating Li Hang 6–4 in the first round before beating reigning world champion and world number one Mark Selby 6–4 in the second round, a victory that was described as the most significant win of his career to date. He went on to defeat David Gilbert 6–2 in the last 32, but lost 3–6 to Stephen Maguire in the last 16. Morris beat Joe O'Connor 4–0 at the Welsh Open, but lost by a reversal of this scoreline in the second round against Neil Robertson.&lt;ref name="2014/15"&gt;&lt;/ref&gt; He qualified for the Indian Open and the China Open, losing 4–0 to Graeme Dott in the second round of the former and 5–1 to Stephen Maguire in the first round of the latter. Morris ended the season at a career-high 51st in the world rankings.