Downing Street said David Cameron was ready to "listen to the arguments" about a ban on smoking in cars that are carrying children.
The Prime Minister's official spokesman told a media briefing, "This is an issue that is going to be discussed and debated in Parliament today, and the Prime Minister's view is that he wants to listen to the arguments."
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The move comes amid a boycott of the paper in Liverpool due to its controversial coverage of the 1989 Hillsborough disaster.
Glasgow East MP Natalie McGarry has been charged in connection with alleged fraud offences.