Garrigus five clear of Tiger in Malaysia.
The big-hitting American, three times a runner-up on the PGA Tour this season, reached halfway 14 under par and two in front of South African Jbe Kruger as Woods moved up only from seventh to fifth with a 67.
"No disrespect to anybody on the PGA Tour - they're all great players - but I feel like I can beat anybody in the world," said 34-year-old Garrigus, currently 43rd in the rankings and with only one career victory to his name.
"I'm going to try to get to 30 (under par) if I can." He has not forgotten he played 54 holes in 32 under in California in January.
After pars on the first six holes he birdied six of the following seven and then made two more before dropping his only shot of the day on the 447-yard last.
Kruger had double-bogeyed that hole in his opening 66, but that gave the world number 181 a first-ever pairing with Woods and it inspired him to a 64.
"I think it definitely made me concentrate a bit harder," the 26-year-old stated.