Story highlights Graham has publicly refused to endorse the Republican presidential nominee

But he conceded Trump had been more disciplined until the first presidential debate

Washington (CNN) Republican Sen. Lindsey Graham, and former 2016 rival of Donald Trump, implored the GOP presidential nominee Thursday to stop suggesting the US election system was "rigged," arguing it wasn't good for democracy.

Graham, who has publicly refused to endorse Trump said the electoral process could be trusted, despite recent cybersecurity concerns in the aftermath of hacking at organizations like the Democratic National Committee and of state voter records

"I don't think it's good for democracy to have a major candidate for president doubt the outcome," Graham told CNN's Kate Bolduan and John Berman on "At This Hour." "But being rigged means it's rigged against you and I think Mr. Trump's fate is in his own hands."

He added: "I believe that the country will survive long after I'm gone but the country really is a process and the election process I think we need to respect it rather than create doubt about it. Americans have enough to worry about already. Let's don't suggest the election's rigged."

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