Murray, a three-time Grand Slam champion who has had two hip operations, eliminated fourth-seeded Alexander Zverev in the previous round as the Scot seeks his third title in Doha. He's currently ranked 70th.
Second-seeded Felix Auger-Aliassime will face Daniil Medvedev in the other semifinal. The 22-year-old Canadian reached the last four by beating Alejandro Davidovich Fokina 6-4, 7-6 (5). Medvedev beat Christopher O'Connell of Australia 6-2, 4-6, 7-5.