This has come after Virgin said it would not sell the newspaper on its west coast mainline as it was "not compatible" with its brand or beliefs. We will continue to offer The Times to customers, but we won't be stocking the Daily Mail for sale or as a giveaway.
But, giving her take on LBC, Paris Lees defended the decision, calling it "fantastic".
In case you haven't heard, Virgin Trains will no longer carry the newspaper.
They added: "Obviously private companies will decide what they want to stock on their trains".
Wikipedia has marked The Daily Mail as an "unreliable" source for stories and has banned its thousands of volunteer contributors from using the paper or the Mail Online as a source for facts after its volunteers decided that the 120-year-old newspaper was "unreliable" and that other sources should be cited.
"There's been considerable concern raised by colleagues about The Daily Mail's editorial position on issues such as immigration, LGBT rights and unemployment".
In the past the Daily Mail "has been highly critical of the controversy surrounding a Government bailout of Virgin Trains East Coast", says HuffPostUK.
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"We are heading in a worrying direction".
He added: "It is equally rich that Virgin chose to launch this attack on free speech in the Aslef trade union journal".
The news follows a similar move by stationery company Paperchase, who ended their commercial relationship with the Daily Mail after complaints from readers over an advertising campaign.
A statement from Virgin Trains also reads: "We've decided that this paper is not compatible with the [Virgin Trains] brand and our beliefs".
The train operator said it made the decision in November as part of a regular review of the products it sells in the shop onboard its west coast trains and after listening to feedback from staff.
"Although our focus is on advertising rather than bulk giveaways, Stop Funding Hate supporters share numerous concerns raised by Virgin Trains employees about the Daily Mail's coverage".
And on January 3, Mail city editor Alex Brummer wrote a comment piece in which he mocked Branson as a "boastful billionaire" with no regard for his customers.
"It may be no coincidence that all those titles, like Virgin owner Sir Richard Branson, are pro-Remain".