Alan Dershowitz said he's "halfway persuaded" that the FBI acted properly in sending an informant into the Trump campaign.

President Trump has accused the FBI of spying on his campaign -- even dubbing it "SpyGate" -- but intelligence officials say they were simply trying to probe Russia’s attempts to influence the 2016 election.

Former House Oversight Chairman Trey Gowdy said on Fox News on Tuesday that the FBI is doing what Trump told them to do when he said he didn't collude with Russia, but if anyone did, he wants the bureau to find out.

On "America's Newsroom" on Wednesday, Dershowitz, a Harvard Law professor emeritus, said he's "relatively satisfied" with Gowdy's assurances that the FBI acted properly.

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"Whenever you get any kind of an informer anywhere near a campaign, there has to be an assurance that it was not political or partisan in nature," Dershowitz said. "I'm about halfway persuaded now by Congressman Gowdy's statement."

He said he would like to hear the Justice Department inspector general's findings and he would like to see the facts for himself, but he's "on the way to being persuaded."

As for Gowdy's suggestion that Trump sit down with Special Counsel Robert Mueller if he truly has nothing to hide, Dershowitz strongly disagreed.

"Prosecutors aren't trying to help you. They're trying to set a perjury trap for you," he explained. "I don't see the answer being if you've done nothing wrong sit down with the prosecutor. That's not good advice for the client."

On "The Story," Fox News senior judicial analyst Judge Andrew Napolitano also weighed in on the Trump team's spy claims, saying they "seem to be baseless."

"There's no evidence of that whatsoever," Napolitano said.

He said that the use of an informant is standard operating procedure in intelligence gathering and in criminal investigations.

Napolitano said he understands Trump is frustrated by the fact that he was not informed that his campaign was part of an investigation, but he respects the judgment of those who decided not to tell him.

"If they were there for some nefarious reason, the one [Rudy] Giuliani suggested, to gather data from the campaign and pass it to the West Wing and pass it to Mrs. [Hillary] Clinton, I'd want to see evidence of that before I made an allegation that outrageous."

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