Sopel replies: 'I mean, obviously if we are talking about the scope for the greatest redistribution I'll have to come back and say well yes Mr Humphrys, but ...'
The two discussed former China editor Carrie Gracie's resignation and the chances that they would have their pay cut.
"And I could save you the trouble as I could volunteer that I've handed over already more than you fucking earn but I'm still left with more than anybody else and that seems to me to be entirely just - something like that would do it?" said Humphrys, who earns a salary of £600,000-£649,000.
But he was caught earlier in the week making disparaging remarks after Gracie made a decision to leave her post as China editor after she learned that male colleagues, including Sopel, a presenter and correspondent, were earning significantly more than her.
On Friday, the BBC said the comments did not break its editorial guidelines as the pair were not explicitly campaigning about an issue, so Humphrys would not be barred from reporting on equal pay.
"'How much of your salary are you prepared to hand over to Carrie Gracie to keep her?", he asked his colleague.
The said the chat was an "ill-advised off-air conversation which the presenter regrets", but anger is already spreading.
"The is committed to getting its pay structures right and, as we have said, we are conducting a comprehensive analysis of presenter pay". "And a useful reminder to be ever careful in a room with microphones".
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Labour MP Stella Creasy said it was "unfair" some stars have been stopped from speaking while Humphrys continued to work. "Let's tip the power as well as the money so that it is Humphrys [who] is now the one who is one anxious that he spoke up and how it affects his career".
John Humphrys has lashed out at the "nasty person" who leaked an off-air conversation he had where he was heard joking about equal pay for women at the BBC.
The presenter told The Times the conversation was not meant to make light of Gracie's push for pay equality. So as far as Trump's concerned, what's the top line? The BBC has told BuzzFeed News it often makes changes to contributor lineups before broadcast.
"So basically I was stood down rather than Mr Humphrys", she said. "It's wrong to suggest anything else".
Gracie's resignation was the latest aftershock since the BBC was forced to disclose the salaries of its top earning employees past year, revealing that two-thirds of them were men.
In an open letter, she said she had left her post to "speak out publicly on a crisis of trust at the", adding that she simply wanted the corporation to "abide by the law and value men and women equally".
Leading BBC radio presenter John Humphrys has sparked a backlash after he was recorded appearing to mock the corporation's gender pay gap.
Tony Hall, BBC Director-General, under increasing political pressure to take urgent action, is holding regular meetings with leading female broadcasters.