Henley has won twice on the PGA Tour, one of those at the Honda Classic earlier this year and although his form of late has been not quite so good he is adopting an attitude to allow him to enjoy himself.
"Attitude is key, just trying to enjoy myself and to be too hard on myself," said Henley. "We put so much pressure on ourselves out here and just wanted to have a good attitude this week."
Two of the three players at 10 under might yet provide the winner however with Rory McIlory and Jason Day sharing that score with Chris Kirk and just two from the lead as they head in the final day on Monday.
Day led at various stages through round three but bogeys at the 14th and 15th and failing to record a birdie at the reachable par five 18th cost him that lead.
McIlroy was brilliant in his final round of 64 as he chases his fourth victory in his last five starts and as a previous winner of the event he appears the man to beat.
Geoff Ogilvy kept his chances alive of graduating to next week's BMW Championship with a round of 65 to move to 11th this week and on the fringe of the top 70 who will play in Colorado.
John Senden is next best of the Australasians in a share of 16th position.