President TrumpDonald John TrumpMark Kelly clinches Democratic Senate nod in Arizona Trump camp considering White House South Lawn for convention speech: reports Longtime Rep. Lacy Clay defeated in Missouri Democratic primary MORE's personal attorney Rudy GiulianiRudy GiulianiNunes declines to answer if he received information from Ukraine lawmaker meant to damage Biden Democratic attorneys criticize House Judiciary Democrats' questioning of Barr Swalwell: Barr has taken Michael Cohen's job as Trump's fixer MORE said Friday he wouldn't testify for House Democrats' impeachment inquiry without consulting his client while also calling Democrats investigating the president "a joke."

Giuliani, who has faced mounting scrutiny this week over his contacts with Ukraine on behalf of Trump, told CNN that the work he does for the president would be protected by attorney-client privilege.

"Ultimately, if I were to say yes and he were to say no, I can't testify," Giuliani said.

He added that he had not discussed testifying with Trump.

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The former New York City mayor also told CNN that he had not heard from committees looking into Trump's discussions with Ukrainian leaders and reportedly laughed when asked if he was worried the House would subpoena him.

"I consider them a joke. A sad joke. They have no legitimacy. I would think of challenging their subpoena on the grounds that they're not a legitimate committee," Giuliani said.

House Democrats are investigating Trump's dealings with Ukraine after a whistleblower complaint alleged that the president tried to pressure Ukraine's president to investigate Democratic presidential candidate Joe BidenJoe BidenMark Kelly clinches Democratic Senate nod in Arizona Hillicon Valley: NSA warns of new security threats | Teen accused of Twitter hack pleads not guilty | Experts warn of mail-in voting misinformation Biden offers well wishes to Lebanon after deadly explosion MORE for Trump's gain. The complaint also accused Giuliani of helping Trump.

The whistleblower complaint centers on a July phone call between Trump and the president of Ukraine in which Trump urged the foreign leader to look into his allegations against Biden and speak to Giuliani about the matter, according to a readout of the call released by the White House this week.

Both have denied wrongdoing.

Democrats subpoenaed Secretary of State Mike PompeoMichael (Mike) Richard PompeoEstablishment-backed Marshall defeats Kobach in Kansas GOP Senate primary Biden offers well wishes to Lebanon after deadly explosion Overnight Defense: Marines find human remains after training accident | Fourth service member killed by COVID-19 | Pompeo huddles with Taliban negotiator MORE and other officials on Friday for Ukraine-related documents.