The Sunday Times claims the Energy Select Committee Chairman Tim Yeo admitted in secret filming that he coached a paying client on how to influence his committee.
Mr Yeo rigorously denies any wrongdoing.
The paper also says he discussed a fee of £7,000 a day to act as a "paid advocate" for a energy company.
Mr Yeo says he did not accept the offer because he realised it was not permitted under House of Commons rules.
He now plans to refer himself to the Parliamentary Standards Committee.
More top news
An man is reported to have wounded at least five people - two seriously - in an attack in the Swiss town of Schaffhausen.
Donald Trump's son-in-law has denied any improper conduct during four contacts with Russians during and after the presidential election.
Police are appealing for witnesses after Sunday night's incident, which is not being treated as terror-related.