The YouTube star earned the third straight victory of his boxing career against Ben Askren at the weekend and hopes that his performance brings a clash with The Notorious closer.
Paul told MMA Junkie: "There are a lot of people [I could fight] but honestly when it comes down to signing the contract, these guys are ducking.
"The McGregor fight just became more realistic like I've been saying. I want to do big fights but I want to take some time off, I've been working my a** off.
"I only want to do big fights but I want a challenge at the same time. Ben Askren was a step up, OK look what happened but we'll see what the next challenge is. I want to do three million or four million pay-per-view buys so who is going to do those numbers?"
McGregor, who is set to face Dustin Poirier in a UFC trilogy fight this summer, previously suggested that he is "not so against" social media stars competing in the ring, although UFC boss Dana White is against the concept.
The Irishman said: "If they are fighting well then it can’t make a mockery of fighting. They’re getting in and competing. I am not so much against it.
"As they say, if it makes dollars, it makes sense. I know Dana and the UFC are not really into it, but I’m not so against it. I think if people are willing to get in and take the risk of making that walk, I’m certainly a viewer."