"It's a great start to the year, I knew I had to come out and get my name up there," the 30-year-old said.
Jamieson, who won the Nelson Mandela Championship in December to qualify for the limited field, almost forced a playoff when his eagle chip attempt at the last hole stopped just short of the hole.
"Louis's a major champion -- there's no shame in losing to him," the 29-year-old said.
Meanwhile, rookies Russell Henley and Scott Langley took a three-shot lead into the final round of the PGA Tour's Sony Open in Hawaii on Sunday.
The Americans were being chased by South African Tim Clark, while another newcomer -- Australian Scott Gardiner -- was tied for fourth with U.S. tour stalwart Charles Howell.