The world number 10 held a share of the lead heading into the final round of The Masters in April before finishing tied for second to Bubba Watson.
Spieth was in a similar position at The Players Championship in May, only to shoot a 74 as Martin Kaymer claimed the title.
But the 20-year-old said he believes he is ready for a breakthrough win and is eyeing the US Open, which starts on Thursday at Pinehurst.
“I believe I can win this golf tournament,” Spieth said on Monday.
“I feel comfortable on this golf course, I think it fits my game, and when I step on the first tee that’s what I’m trying to do.
“If I get into contention, I’m definitely, by this point, I’m going to draw off any experience I’ve had, and now I do have a little experience and that’s only going to help me and I feel like I’ll be able to close this one out.”
Spieth said he had moved on from both near misses and hopes he can use the experience if he is in contention on Sunday.
“I learned a lot from both experiences,” he said.
“I struck the ball better, played smarter shots at The Players, I just got bounces which didn’t go my way. Coming in here, that’s all behind me.
“I’ve got what I needed to learn from those experiences and I will put them into account if I can work my way into contention here.”
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