Paul Ross, 58, told The Sun on Sunday that he first met his gay lover when he visited a dogging site near his home in Berkshire to watch other couples having sex.
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Paul, brother of presenter Jonathan Ross, claimed that he was in need of an 'escape' after being landed with a huge tax bill - adding that he hadn't had sex with his wife for over a year.
He also told the newspaper that he's undergoing counselling for drugs after he became hooked on mephedrone - or meow meow - which he was introduced to by his lover during their year-long affair.
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A picture obtained by the press has shown the married father snorting the substance off of his lover's face.
A spokesman for the BBC has confirmed that Paul - who co-hosts BBC Radio London's breakfast show - will be taking some time off work.
They said: “Paul has spoken about his personal problems at length. He will be taking some time off to deal with those issues and won't be on air on Monday.”
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An insider at the BBC said they expected Paul to be off work for most of next month.
He described himself as “an addict” in a newspaper interview and is now getting counselling for his drug use.
Despite the affair, wife Jackie - who discovered the affair when she tracked her husband's affair using the Find My iPhone app - is standing by Paul.
She said: “I'm not wiping out a 14-year relationship for six months of madness. I'm not. Because I know he loves me. I know 90 per cent of Paul is a good man. He’s a good dad.
"I feel the sex was part of the mephedrone package, I don’t see it as a gay relationship, I see it as part of the drugs."