Washington (CNN) Senate Judiciary Committee Chairman Lindsey Graham of South Carolina said on Tuesday that he plans to invite Rudy Giuliani, President Donald Trump's personal lawyer, to speak to the committee about Ukraine.

In a series of tweets, Graham, a South Carolina Republican, wrote, "Have heard on numerous occasions disturbing allegations by @RudyGiuliani about corruption in Ukraine and the many improprieties surrounding the firing of former Prosecutor General Viktor Shokin."

"Given the House of Representatives' behavior, it is time for the Senate to inquire about corruption and other improprieties involving Ukraine," he wrote, adding , "Therefore I will offer to Mr. Giuliani the opportunity to come before the Senate Judiciary Committee to inform the committee of his concerns."

A Judiciary Committee spokesman said that the format for Giuliani's potential appearance has not yet been determined, in response to a question from CNN asking if Giuliani would testify in an open session.

In response to a request for comment on Graham's announcement, Giuliani told CNN, "Love Lindsey, but I am still a lawyer and I will have to deal with privilege."

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