"It's just a matter of time. He's hitting the ball so well, and with great imagination."
Goosen got off to the worst possible start, dropping shots at the first, fourth and eighth to reach the turn in three-over-par 39.
He dropped another shot at the par-four 11th to slip to seven-under before climbing past fellow strugglers Ernie Els and Vijay Singh with birdies at 15 and 16.
"It was a great day playing with Tiger but obviously I was a bit disappointed with the way I played," said Goosen.
"I was nervous starting out today but the way I was swinging the club, I was always putting from 40 feet.
"It's not easy on these greens to make any putts from that distance.
"You just know that Tiger is not going to make any big mistakes. You know you have to lift your game and start making birdies."
 Els was derailed at the long 13th
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Els, meanwhile, began the day four shots back alongside Sergio Garcia and Phil Mickelson, but saw his challenge crumble with an eight via the water at the long 13th.
The South African finished on six-under in a share of fifth with Padraig Harrington, six shots behind Woods.
"We all tried (to challenge Woods) but I made a terrible swing on 13 which cost me the tournament," Els said.
"I had it (momentum) but I got a bit greedy and it didn't work out for me."
Mickelson carded a closing 71 to finish third, four back on eight-under, but never really ignited his round.
"I don't feel as though it was a missed opportunity, per se," Mickelson said.
"I just think we were all trying to make birdies. When you do that, you're going to open the door to bogeys.
"I thought if I could make a bit of a move, I might be able to make some noise.
"Unfortunately, it stalled a little quicker than I would have liked."
