Boris Johnson has confirmed he will take part in a televised Tory leadership debate on the BBC.
The event will take place after the second round of voting.
Mr Johnson is said to have refused to take part in Sunday's planned debate on Channel 4, with rival candidates accusing him of avoiding media scrutiny.
Channel 4 plans to 'empty chair' Mr Johnson for the debate by having a rostrum set up with his name on it.
He said he was "very keen" on TV debates but viewers might not like too much "blue-on-blue action".
Mr Johnson, who was the landslide winner of the first Tory leadership ballot on Thursday, told the BBC Radio 4's World at One he was not opposed, in principle, to TV debates and had done many of them in his two successful campaigns for the London mayorship.
"I think it is important that we have a sensible grown-up debate," he said.
"My own observation is that in the past when you've had loads of candidates, it can be slightly cacophonous and I think the public have had quite a lot of blue on blue action frankly over the last three years.
"We don't necessarily need a lot more of that and so what I think the best solution would be, would be to have a debate on what we all have to offer the country.
"And the best time to do that, I think, would be after the second ballot on Tuesday, and the best forum is the proposed BBC debate.
"I think that's a good idea."
He told the BBC that he is "more than happy" to take part in the BBC One leadership debate.
Channel 4 is broadcasting the first live leadership debate between the main candidates vying to become the next prime minister.
Its 90-minute programme will be hosted by Channel 4 News presenter Krishnan Guru-Murthy, in front of a live studio audience drawn from across the UK.
Mr Guru-Murthy called on Mr Johnson to appear on Live: Britain's Next PM - The C4 Debate, saying that the BBC event would have "fewer rivals".
"BBC show is very different with fewer rivals after second round of voting and no live studio audience," he said on Twitter.
"Is possible, for instance, he won't face biggest critic Rory Stewart or Brexiteer rival Dominic Raab."
Channel 4 director of programmes Ian Katz has said: "The next British prime minister will be chosen by 330 MPs and 120,000 Tory party members - just 0.2% of the population - so it's vital that they are properly tested before the wider electorate.
"There has been a dismaying trend in recent years towards major politicians avoiding taking part in televised debates, but we're hopeful that this will mark a return to healthy public scrutiny of candidates for our highest office."
A Channel 4 spokesman said: "We are disappointed that Mr Johnson will not be taking part in the debate to face members of the public for full scrutiny alongside the other candidates.
"There will be a lectern available if he changes his mind."
On the BBC, Emily Maitlis will put the "future UK prime minister to the test".
The public will be able to question the leadership hopefuls, live on air, from BBC studios across the UK.
The programme, Our Next Prime Minister, will air just two hours after the second ballot.
