The 20-year-old has already undergone one round of surgery in Canberra, where he was air-lifted after being struck by an errant shot during a pro-am event on the NSW far south coast.
Guan, from Sydney, then travelled from Canberra to seek specialist care at the Sydney Eye Hospital.
Golf Australia (GA) issued a statement saying the young gun had been hit just below his eye in the pro-am, played before a NSW Open regional qualifier tournament.
Guan was taken to a local hospital by paramedics, before being transferred by air to Canberra.
At the family's request GA wasn't releasing any further details of the prognosis or treatment.
The injury occurred just a week after Guan made his US PGA debut in California.
He played in the Procore Championship at Silverado Resort in the Napa Valley and posted a three-under 69 in his opening round but was even after the second round, which saw him miss the cut at three under.
After playing in the Asia Pacific Men's Amateur at Royal Melbourne Golf Club in October, Guan announced he would turn professional.
He tied for 18th in the 2023 Australian PGA and in a share of 21st at the Australian Open, and was expected to again play in both this year.
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