Conley has been sidelined since June 2 and hasn't played yet in this best-of-seven series. The Jazz enter Monday's road game with a 2-1 series lead.
Conley, 33, has missed significant time because of injuries to both hamstrings during his two seasons in Utah. He missed six games in February and nine games in late April and May because of tightness in his right hamstring.
Joe Ingles replaced Conley in the starting lineup in each of the first three games against the Clippers and is averaging 15.3 points and 4.3 assists over that stretch.
Conley averaged 17.4 points and 8.6 assists per game in the top-seeded Jazz's first-round series against his former team, the Grizzlies.
ESPN's Tim MacMahon contributed to this report.