The former world number one fired a disappointing opening 73 on Thursday that left him in danger of not being around for the weekend.
But he followed it up with a three-under 68 on Friday, and believes he's still in the hunt for victory on Sunday.
Woods, who made six birdies and three bogeys and is now seven shots off the lead, said: "It's always a progression. You've got to do it on the range at home and got to do it on the golf course and at home and eventually here and down the stretch and then in major championships and win those bad boys."
There were also signs of consistency from Woods who added: "I've come off of injuries before in the past, but it's always been the same swing.
"It's pretty easy to come back to that. But when you're implementing changes, it's nice to have more competitive reps to fall back to because as of right now, I haven't had that many competitive reps with Sean [Foley].
"I don't like missing cuts, period. If I miss the cut, that means you can't win the tournament on the weekend. I've got a shot at it this weekend."