The Thunder fell behind 2-0, but rattled off three-unanswered goals to snap a three-game winless skid.
Watts finished with two points while Jay Dickman snagged three helpers. Zachary Emond made his season debut in net, stopping 34 shots for his first win in a Thunder uniform.
After a scoreless first period, Tulsa tallied two power play goals in a five-minute span. At 4:56, Justin Bean fired a shot from the left point and gave the Oilers a 1-0 lead.
Ryley Lindgren made it 2-0 at 9:46 when he found a rebound and slipped it past Emond near the left post.
In the third, Wichita battled back to force overtime. Timur Ibragimov took a beautiful feed from Dickman and buried a shot from the left circle to cut the lead to 2-1.
At 10:48, Michal Stinil tied the game with his third of the season. Watts won a battle behind the net and found Stinil in front of the crease. He put home a rebound to make it 2-2.
Watts scored the game-winner at 5:48 of the extra session. He took a pass from Dickman, skated in over the line, cut through the slot and fired a backhand through Colten Ellis for his eighth of the year.
Wichita has won all three games in the season-series against Tulsa that have gone into overtime. In each of those games, the Thunder were down by a 2-0 margin at one point.
Watts finished with a goal and an assist, giving him points in six-straight. Dickman had three assists, which is a season-high. Stinil has goals in back-to-back games and points in seven of his last eight games. Ibragimov has points in five of his last six games.
The Thunder were 0-for-4 on the power play. The Oilers went 2-for-4 with the man advantage.
Wichita travels to Tulsa on Sunday afternoon at 4:05 p.m. to close a four-game mini-series this week against the Oilers.
With Wichita Thunder release