WASHINGTON Rudy Giuliani , whose advocacy of a debunked conspiracy theory ultimately led to President Donald Trump s impeachment , is lobbying to join the presidents defense team in the Senate trial but has so far been rebuffed.

Giuliani, who has acted as Trumps attorney for free since early 2018, has been working Trump hard to be included among the lawyers who will defend him on the floor of the Senate, according to an informal adviser close to the White House who spoke on condition of anonymity.

The White House declined to comment on Giuliani. A second informal adviser said Giuliani has not really been aggressively lobbying, but has made it known that he is available to offer his services. They said, Thanks, but no thanks, the adviser said, also on condition of anonymity.

Giuliani did not respond to HuffPosts queries on the matter.

The former New York City mayor has, however, made it clear in recent public statements that he would enjoy arguing Trumps case before the Senate. Id try the case. Id love to try the case, Giuliani told reporters at Trumps New Years Eve party for paying guests at his Palm Beach resort. I dont know if anybody would have the courage to give me the case. But if you give me the case, I will prosecute it as a racketeering case.

And Saturday night, Giuliani told Fox News host Jeanine Pirro he would ask for the U.S. Supreme Court to dismiss the case against Trump, which, in his view, would have the effect of expunging the impeachment from Trumps record. I would say if its nonconstitutional, its null and void, he said.

Trump responded by posting a tweet of the interview with the statement: Thank you Rudy!

Top White House aide Kellyanne Conway told reporters Friday that Trumps case would be handled by White House counsel Pat Cipollone, his two deputies and Jay Sekulow, another of Trumps personal lawyers. She was noncommittal on the possibility of any others joining the team.