Giuliani says he will make decision over Ukraine testimony 'in next week or so'

President TrumpDonald John TrumpZuckerberg launches public defense of Facebook as attacks mount Trump leaning toward keeping a couple hundred troops in eastern Syria: report Warren says making Israel aid conditional on settlement building is 'on the table' MORE's personal lawyer Rudy GiulianiRudy GiulianiHurd: No Ukrainian officials have told State Department 'they felt like their arms were being twisted' House Democrat pledges 'there will be open hearings' in impeachment inquiry Combatting fake news on social media will take a village MORE said he will make a decision soon about whether to accept Sen. Lindsey GrahamLindsey Olin GrahamZuckerberg launches public defense of Facebook as attacks mount Graham: 'Stupid' for Trump to ask China to investigate Biden Turkey sanctions face possible wall in GOP Senate MORE's (R-S.C.) invitation to testify before Congress about Ukraine.

“That’s a decision I’ve got to make with my client over the course of the next week or so,” Giuliani told Hill.TV on Wednesday without elaborating further.

His comment came a day after Graham changed course, and announced plans to invite the former New York City mayor to testify before before the Senate Judiciary Committee.

The senator previously indicated that he wanted "all things Ukraine" investigated but didn't think the Senate should lead the probe.

“Given the House of Representatives’ behavior, it is time for the Senate to inquire about corruption and other improprieties involving Ukraine,” Graham said in a series of tweets.

While Graham didn’t specifically mention former Vice President Joe BidenJoe BidenZuckerberg launches public defense of Facebook as attacks mount Graham: 'Stupid' for Trump to ask China to investigate Biden Romney: Republicans don't criticize Trump because they fear it will help Warren MORE, he added that he made the decision after hearing “numerous occasions disturbing allegations” from Giuliani about alleged corruption in Ukraine, particularly concerning the firing of the country's then-top prosecutor general Viktor Shokin.

The announcement comes as Trump and his allies double down over claims that Biden, while serving as vice president, pushed for Shokin to be fired in order to help his son, who serves on the board of a Ukrainian energy company. 

There has been no evidence of wrongdoing by the former Vice President.

Giuliani, meanwhile, has become a key figure in the ongoing House impeachment inquiry arising from Trump’s efforts to pressure Ukraine to investigate the Bidens.

House Democrats subpoenaed Giuliani last month as part of the investigation, though Giuliani denied this in his interview with Hill.TV.

“With regard to the House…I didn’t get a subpoena — I’ve gotten a letter,” he said. “They haven’t gotten to the stage of a subpoena.”

—Tess Bonn