Smith said he was told that, after the operation, "I'm gonna be able to sing like never before, so it's worth it."
Smith said he would undergo the operation next week and would not be able to speak - let alone sing - for three weeks afterward.
Among his upcoming dates, Smith had been scheduled to sing May 16 at the inaugural Rock in Rio USA festival in Las Vegas.
He also canceled appearances at two major British events - the BBC Radio 1 Big Weekend in Norwich and the Capital FM Summertime Ball at London's Wembley Stadium - and June 17-18 shows at the Olympia in Paris.
Smith earlier called off shows in Japan, the Philippines and Australia, where doctors noticed the hemorrhage following a concert in Sydney. He had already performed twice in New Zealand.
Smith, who until a few years ago was a bartender in London, quickly won a global fan base with his soulful ballad about a one-night stand, Stay With Me, and maintained a punishing travel schedule.
He was the big winner at the Grammys in February, winning awards in three of the four most prestigious categories.
- AFP