John Kasich

Ohio Gov. John Kasich chats with a reporter Tuesday at the Statehouse in Columbus, following an interview with reporters from the Columbus Dispatch and cleveland.com.

(Henry J. Gomez, cleveland.com)

COLUMBUS, Ohio -- Ohio Gov. John Kasich is working on a book that will recount his unsuccessful bid for president and share his thoughts on the country's direction.

"How can I let an experience like this not be written about? I expect to, hopefully, meet with publishers in the next three weeks or so and talk about the country, the direction, how we got here and what the future is," the Republican said Tuesday.

Kasich spoke with reporters from cleveland.com and the Columbus Dispatch in his first interview with Ohio media since suspending his campaign May 4.

The governor reiterated that he is in no rush to support presumptive GOP nominee Donald Trump. And he indicated that an endorsement might never come.

"Unless I see a fundamental change it's really hard for me to do a merger," said Kasich, choosing a business analogy that Trump, a wealthy real estate mogul, would understand. "If the values are not somewhat similar -- if the culture is not somewhat similar -- it's hard to do a merger. ... If he changes, that's a whole new ballgame."

Kasich said he, his wife and his twin teenage daughters have been bothered by Trump's "negativity." He did not specify what, in particular, has upset the family. But Trump has been known for his divisive rhetoric about Mexicans, Muslims and women.

One thing the governor ruled out Tuesday: Voting for the Democratic nominee.

"I'm not going to vote for Hillary Clinton," he said. "That's not going to happen."