"It was a rather simple operation, so there is nothing to get seriously worried about," Yonhap News agency quoted Lee as telling a local sports Web site.
"I believe I can fully recover and be in good shape before July, when South Korea's national team is due to take part in the Asian Cup."
South Korea are in Group D with Indonesia, Saudi Arabia and Bahrain for the July 7-29 tournament. Indonesia, Malaysia, Thailand and Vietnam are co-hosting the competition.
South Korea are also likely to be without Manchester United's Park Ji-sung, who underwent surgery in the United States last week to repair a knee problem.
The livewire midfielder is expected to be out until August.