The Indian ace is now eight-over through three rounds and has been struggling at the tough Firestone course, which has been firm, fast and bouncy.
Jeev had rounds of 73 and 74 on first two days. In the third round, he had three birdies and four bogeys.
Meanwhile, Jim Furyk continued to the be frontrunner but he missed a couple of birdie chances early in the third round. But he was more than happy to settle for pars. He made 16 pars, along with one birdie on the front nine and one bogey on the back nine, for an even-par 70.
The scoreboard shows him with a one-shot lead over Louis Oosthuizen, who had a 68.
Rory McIlroy, with an outside chance of returning to No. 1 in the world if he were to win, had a 67 and joined Steve Stricker (68) at 6-under 204, five shots behind.
Top-ranked Luke Donald also was chipping away, as he often does, until he hit a tree on the last for a bogey for a 71, falling seven shots back.
Tiger Woods broke par for the first time all week, though his 68 left him 11 shots behind on a Firestone course where he has won seven times.