"He is up shooting and getting it loosened up, so he's going to give it a shot," coach Kevin McHale said before the game.
Lin suffered a bruised chest muscle in the first half of a 105-102 loss in Game 2 and didn't play in the second half.
He has sat out of practice since, but said Saturday morning that he was feeling much better and was hopeful he could play later in the evening.
The Thunder enter the game up 2-0 in the best-of-seven series, but learned Friday that they will be without All-Star point guard Russell Westbrook, who needs knee surgery.
Also on Saturday, Houston forward Greg Smith missed a shootaround because he was throwing up. McHale says Smith still wasn't feeling well Saturday night and that he hoped he'd be better for the game.
Information from The Associated Press was used in this report.