He was eight shots out of the lead the first round, 11 back after the second, 13 after the third.
Englishman Rose tied the 54-hole tournament record at 18 under following his third-round 69 in San Diego, California on Saturday. "It's very easy to make errors on that South course".
"I've got to play a little bit better than I have", said Woods, who added that he needs to "drive it like I did today and hit my irons a little bit better and give myself plenty of looks".
Woods struggled early, bogeying the first hole of the day. But a 68 on the South course isn't anyone's to lose.
"Each day I got a little bit better", he said. "He's taken it to a different level with his ball striking". For the week, he needed 118 putts and was 41st out of 77 players in strokes gained putting.
Rose has a 3-6 record when he has the lead going into the final round on the PGA Tour, and he knows not to take anything for granted, even the way he's playing on a strong South course.
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Needing to go low after an opening 70 on the South Course, Woods settled for the same on the North. That left him tied with Ryan Palmer (67) and Rahm. He answered with two birdies and an eagle on the par 5s, reaching all of them in two, and appeared to be sailing along until he pulled his shot out of a bunker on No. 14 into the hazard for a second double bogey, and then found the water on the final hole.
Rose dedicated the victory to his caddie, Mark Fulcher, who had a heart procedure last week and was watching from home. On the par-3 16th, Rose holed a 30-foot birdie putt, right before Scott followed him in for birdie from 20 feet.
Spieth is coming off his first winless season as a pro, but he wasn't alone. "I was happy with the way I played". "I don't have to go looking, searching for something".
Rahm started his day with a 10-foot eagle at his first hole, the 10th, and he also eagled his next par-five in flawless weather, with hardly a breath of wind drifting off the Pacific Ocean in southern California. He dropped only one shot in his round of 66 and joined McIlroy at 8-under 136.
In comparison, he was ranked world No. 539 at last year's Farmers Insurance Open. He was 10 shots behind in a tie for 65th and was 10 shots behind. "Iron shots weren't as close as I'd like to have them (although) I hit them in there close enough I should have made some of those putts".
Talking to New York Post's Justin Terranova, Faldo, who won six major titles, praised Woods for his impressive performance at the PGA Championship previous year which left the Brit "amazed".