A meeting with Donald TrumpDonald John TrumpTrump passes Pence a dangerous buck Overnight Health Care — Presented by American Health Care Association — Trump taps Pence to lead coronavirus response | Trump accuses Pelosi of trying to create panic | CDC confirms case of 'unknown' origin | Schumer wants .5 billion in emergency funds Trump nods at reputation as germaphobe during coronavirus briefing: 'I try to bail out as much as possible' after sneezes MORE's running mate, Mike PenceMichael (Mike) Richard PenceTrump passes Pence a dangerous buck Overnight Health Care — Presented by American Health Care Association — Trump taps Pence to lead coronavirus response | Trump accuses Pelosi of trying to create panic | CDC confirms case of 'unknown' origin | Schumer wants .5 billion in emergency funds Trump nods at reputation as germaphobe during coronavirus briefing: 'I try to bail out as much as possible' after sneezes MORE, didn't change Sen. Jeff FlakeJeffrey (Jeff) Lane Flake70 former senators propose bipartisan caucus for incumbents McSally ties Democratic rival Kelly to Sanders in new ad McSally launches 2020 campaign MORE's (R-Ariz.) mind about supporting the GOP nominee for president. 

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But, Flake said Sunday, he hopes Pence, a conservative governor from Indiana, can have an impact on Trump's tone and policy positions. 

"Mike and I go way back. We came in the House together. I have a lot of respect for him. ... I certainly respect him. I still told him I'm not ready to support Donald Trump," Flake said on CBS's "Face the Nation." 

"I hope he has influence on Donald Trump, but I've yet to see Donald Trump change positions he needs to change," Flake said, adding that the businessman needs to adjust his tone if he wants to win in November. 

Flake said Pence told him Trump is different in private than he is in public, something that is often said about the Republican candidate. 

Flake rejected that defense. 

"If you can govern in private, I guess it would be OK, but you can't, and I still have a problem with some of the statements that he's making." 

He took issue especially with comments Trump made when launching his campaign about Mexico sending "rapists" and drugs to the U.S. 

"That just doesn't sit well. ... You can't expect to win Arizona when you make statements like that." 

Flake said he still hopes to be able to support Trump eventually. 

"I still hope to support our nominee. It's becoming increasingly difficult to see that he's going to make the changes that he needs to."