Fallon said he expects to see a "subdued" Trump during Monday's debate.
"Donald Trump is the only candidate who is willing to put politics aside."
Majority of Trump and Clinton supporters want moderators to fact-check candidates.
"He certainly has a plan," Conway said.
"A lie would mean that he knew the man's party registration."
In a head-to-head matchup, both candidates are favored by 46 percent of likely voters.
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More than 100 million people are expected to tune in to Monday night's debate.