"I'm going to change the face of the game the same way I have for Mixed Martial Arts," Conor told Nuffin'Long.
"I'm going to change the way fighting is approached."
After mocking Mayweather's dress sense for the fourth time in as many press events promoting the fight, McGregor turned on 'Money' and adviser Leonard Ellerbe with some typically brash words of warning.
"I am boxing," he said.
"I've got to be real, when his [Mayweather's] legacy is destroyed in six weeks' time, it will fall on you [Leonard Ellerbe] and Mayweather Sr's shoulders.
"He could've rode off into the sunset at 49-0. Instead, this is my first time in a boxing ring and in six weeks' time... I run boxing.
"How did they let me ride in here? They got greedy, that's what."
McGregor then strolled past Mayweather and patted him on the head, to roars of laughter from the Wembley crowd.
The 29-year-old went on to mock Mayweather's "high heel" shoes, while the American sat patiently before getting his turn in the boxing ring.
Mayweather's response began with the familiar 'Hard Work' chant, only for the crowd to start booing with a chorus of 'Same Old, Same Old'.
'Money' went through his 21-year routine as McGregor sat at the press conference table with his feet up.
He did, though, suggest that he wants to add a fifth and final stop on the tour - and head to McGregor's homeland of Ireland on Saturday.
Mayweather suggested he "owned Ireland" but it was soon drowned out by the crowd, leaving him to try and win some friends back by singing McGregor happy birthday.
McGregor said he will enjoy his birthday with his girlfriend and his son before returning to Las Vegas where his preparations for the bout will intensify.
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