Hopes of a victory are negligible however, considering Lee sits a hefty 11 shots behind Pat Perez, who shot an eight-under 64 to hold a four shot lead over fellow American Xander Schauffele.
Lee is in a better position than his compatriot Lydia Ko however, who sits in a share of 20th at the LPGA Tour's KEB Hana Bank Championship in South Korea.
Ko carded a nice three-under 69 to move up five spots on the leaderboard, bouncing back after her poor second round of 73.
Ko had a bogey-free round, starting quickly with birdies on her opening and third holes, before reeling off 14 straight pars. A birdie on the last capped off a steady round, but Ko will need to go lower to further improve her position tomorrow.
The former world number one was in contention after an opening 68, but her one-over second round resigned Ko to a middling position.
Ko is nine shots off the lead, held by 22-year-old Korean namesake Jin Young Ko, at 15-under.