The 42-year-old, who had back surgery last year, is two shots off the lead, while Northern Ireland's Rory McIlroy missed the cut in Florida. The former world no. 1 has been plague with injuries; he had surgery to fix his back last year. Woods' second round of 68 moved him to a tie for second, four under overall. Tiger Woods feels his game keeps "getting a little bit better" after moving into contention at the halfway stage of the Valspar Championship.
"I'm getting a feel for it, finding the rhythm of rounds and not having a problem posting scores," said Woods.
"I've got a chance going into the weekend," added the 14-time major winner, who has not won a tournament since 2013.
"I keep getting a little bit better here and there, making these subtle tweaks. I needed a little bit more tournament time in and I've done that."
Woods shot a three-under 68 to go with his opening 70 and trails Canada's Corey Conners - who has never won on the PGA Tour - by two shots, with England's Paul Casey and Americans Brandt Snedeker, Kelly Kraft and Ryan Palmer all also on four under.
He started his second round on the back nine at Innisbrook Resort and Golf Club and notched birdies with putts of six foot on his third and fourth holes, the second coming after a pin-point 187-yard tee shot.
A tee shot to within three feet of the pin on his 13th hole gave him a fourth birdie of the day and after thrilling fans with a trademark fist pump when he saved par on his 16th hole, he dropped his only shot by missing a five foot putt on his last hole.
When 2018 began Woods said he hoped to build form for the Masters in April having missed so much competitive golf.
