"I think we're close. I think it all depends on week to week and if you're having a good week and you're mentally strong that week. It could be any time," he said ahead of the Barclays Singapore Open, which he won in 2008.
"I think these guys are strong enough to win tournaments anywhere in the world. They're playing well and my goal obviously is that before my golfing career is over, I would like to win a Major championship.
"I feel like I've got another nine years in me. I'm 41 and hopefully I'll do that," added Jeev.