"I'm struggling to believe that I'm doing what I'm doing," said Fleisher, who had just one victory in 408 events on the PGA Tour. "Maybe I should be more confident now."
Fleisher withstood a challenge from Dana Quigley, who cut a five-stroke deficit at the start of the round to just one with a birdie on No. 14. But a bogey on No. 15 and a double bogey on No. 18 after his tee shot went in the water ended Quigley's bid.
"He made a good fight of it today," Fleisher said. "He didn't make a bad shot until 15. With a five-shot lead, I struggled and I fought. I didn't know whether to keep the pressure on or not."
Fleisher, who earned $195,000, had a 13-under 200 total on the TPC of Tampa Bay. He is averaging $81,135 in 36 senior starts.
"I think he proved he's still the sheriff in town," said Quigley, who finished with a 68. "I applied a lot of pressure, but he was just better today."
Fleisher had only one bogey in the tournament, on the fourth hole Sunday.
Tom Watson tied for eighth at 211, topping the three high-profile senior newcomers in the field. Tom Kite (214) tied for 20th and Lanny Wadkins (218) tied for 40th.
Jack Nicklaus closed with a 71 to tie for 14th at 213.
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