The Sooners will face Kansas at 1 p.m. Sunday.
It looked for a while like the Sooners would cruise into the game, taking a 5-1 lead into the ninth.
Up to that point, OU's pitching staff had given up just one hit in the first 26 innings of the tournament.
But the Sooners had been flirting with disaster, needing three double plays and getting the Wildcats to strand nine through the first eight innings to get themselves into that spot.
Kansas State finally came up with some timely hits, especially Mitch Meyer's two-run single to tie it off Sooners' closer Jacob Evans.
Oklahoma took the lead again in the tenth, on Matt Oberste's RBI single, only to watch Kansas State tie it yet again in the bottom half.
Taylor Alspaugh's one-out double set up Aikin's game-winner.
“Coach G was telling him the whole way to stay on top of it and hit it the other way and he could beat it out or get a hit,” White said of Aikin.
Golloway wasn't sure who he would start on the mound in the championship game, having gone through each of his three normal starters over the tournament's first three days.
The Sooners figure to string together several different pitchers to get through it.