A former policy adviser to President Obama is firing back at President Trump's claim that Obama wiretapped Trump Tower, saying it didn't happen — at least not under Obama's orders.

"No President can order a wiretap. Those restrictions were put in place to protect citizens from people like you," Ben Rhodes tweeted Saturday morning.

He also said "only a liar" could make the case, as Trump suggested, that Obama wire tapped Trump Tower ahead of the election.

“Terrible! Just found out that Obama had my ‘wires tapped’ in Trump Tower just before the victory. Nothing found. This is McCarthyism!” Trump wrote on Twitter early Saturday.

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“Is it legal for a sitting President to be "wire tapping" a race for president prior to an election? Turned down by court earlier. A NEW LOW!” he added in subsequent tweets. “I'd bet a good lawyer could make a great case out of the fact that President Obama was tapping my phones in October, just prior to Election!”

It was not immediately clear whether Trump had any proof or was referencing a report. Breitbart News on Friday reported on conservative radio host Mark Levin’s claim that Obama executed a “silent coup” of Trump via “police state” tactics. White House chief strategist Stephen Bannon was the executive chair of Breitbart before joining Trump’s team.

Observers have noted the president’s tendency to tweet things — including a 2003 photo tweeted Friday of Sen. Chuck SchumerCharles (Chuck) Ellis SchumerDemocrats now attack internet rules they once embraced Schumer: Trump budget would ‘cripple’ gun background checks Schumer: Senate Republicans' silence 'deafening' on guns, Russia MORE (D-N.Y.) with Russian President Vladimir Putin — shortly after they were published on pro-Trump blogs like Gateway Pundit or conservative websites like Drudge Report.

Moments earlier, Trump had also linked Obama to Attorney General Jeff SessionsJefferson (Jeff) Beauregard SessionsUnder pressure, Trump shifts blame for Russia intrusion Overnight Tech: Judge blocks AT&T request for DOJ communications | Facebook VP apologizes for tweets about Mueller probe | Tech wants Treasury to fight EU tax proposal Overnight Regulation: Trump to take steps to ban bump stocks | Trump eases rules on insurance sold outside of ObamaCare | FCC to officially rescind net neutrality Thursday | Obama EPA chief: Reg rollback won't stand MORE’s meetings last year with Russia’s U.S. ambassador.

Trump’s team has sought to push back on accusations of coziness with Russia by pointing out instances of Democrats meeting with Kislyak. Critics have responded that the issue isn’t that Sessions met with the ambassador, but that he falsely told Congress he hadn’t while under oath.

Former national security advisor Michael Flynn was ousted last month after revelations that he misled top White House officials about the nature of his conversations with Kislyak.