Republican presidential candidate John Kasich said Sunday his campaign is looking at potential running mates for if he secures the nomination.

"Well, we have some old hands now who are beginning to do that," he said on CBS's "Face The Nation."

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"You know, these things come quickly. And you don't want to have yourself in a position where you have to pick somebody out of a hat. So I have some skilled hands who are beginning now to take a look and figure out who would really fit. And, you know, it's just starting, so there isn't a lot to report."

He said it's possible he'll announce his vice presidential pick by June, before the Republican National Convention in July.

Kasich said he approved of the campaign vetting potential candidates, but said its strategy is something "you talk about as a group."

"But we're at the preliminary stage. And yeah, I think it's always possible," he said.

"You know Reagan tried to do that in 1976. He didn't win."

Kasich has been predicting a contested convention for some time.

He is trailing both front-runner Donald Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE and rival Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE in the delegate count by a large margin, but he argues he is the Republican candidate who can win in a general election.