Chris Bryant said he was “irritated” by the government’s lack of progress to even enact “simple recommendations” that could curb the impact of lobbying in parliament.
MPs are also in line to get a £2,200 pay rise next month that comes against backdrop of significant economic hardship for many Brits.
Despite breaking no Commons rules, the latest revelations heap more pressure on Sir Geoffrey Cox amid a growing sleaze scandal.
According to the Mirror the UK's wealthiest MP rents out a taxpayer-funded London flat while claiming £1,900 a month for a second home - also in London.
The clip appears to show Geoffrey Cox using his parliamentary office for commercial work.
Sir Geoffrey said it was "beneath the dignity" of MPs to try and shut down money laundering loopholes.
Labour has asked the Commons standards commissioner to investigate reports Cox used his private office for commercial work.
Sir Geoffrey said there were "real drawbacks" to public registers of interests - because they lead to "frivolous complaints".
Labour has referred Sir Geoffrey to the Commons anti-sleaze watchdog over the allegations.