David Cameron's official spokesman said he had not spoken to the Prime Minister about Lord Hanningfield's alleged "clocking in" claims but told reporters: "I understand the concerns that have been raised."
The House of Lords Commissioner for Standards - who is is responsible for investigating alleged breaches of the peers' code of conduct including on the use of expenses - has not yet received any complaint about Lord Hanningfield, a spokesman said.
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A weather warning is also in place for Scotland, which could see "treacherous" and blizzard-like conditions on Thursday.
The lorry lost several butane gas canisters as the driver rammed into cars in a dangerous escape attempt that was ended by police gunfire.
The Gambling Commission said: "Integrity in sport is not a joke and we have opened an investigation to establish exactly what happened."