Westwood insists he and the world number one remain friends, despite a public spat on Twitter following McIlroy's departure from their management company.
Lee Westwood plays down Rory McIlroy feud talk ahead of Ryder Cup
Speculation of a rift between the pair has been rife since McIlroy quit the management company Westwood has been with for 20 years, with the two then exchanging views over the split on Twitter.
But according to Westwood, they remain friends and he would love to play alongside the world number on in Medinah next week.
"We were talking about it as we were going around Crooked Stick," he told the Daily Telegraph.
"I said to him `have you had any thoughts about who you are playing with a Medinah? Because if nobody else wants to play with you and you`re desperate, I really don`t mind filling in`. We had a laugh about that.
"There is nothing there. Fans must watch us having banter on the course thinking `so where is this grudge?` So he left the management company I`m with. So what? It was a business decision. There is nothing personal with me.
"There is nothing between us personally that would get in the way. Who wouldn`t want to play with Rory when he's in this nick. I'd love to. It'd be good. In fact, it would probably be way better than good, particularly in the four balls. We'd make a ton of birdies."
The Ryder Cup takes place from September 28-30 at Illinois' Medinah Country Club.
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