In October 2019, Greig said that he hoped the "Daily Mail" would overtake "The Sun" as Britain's best-selling newspaper. The "Daily Mail"s profits were reported as stable in 2019, while other tabloids "suffered". Greig observed: "We do defy gravity... Murdoch always used to say there would be two groups standing in the end. Maybe that's going to be right." In June 2020, "The Guardian" reported that the "Daily Mail" had overtaken "The Sun" as the UK's best-selling paper that May. Greig hailed it as a "historic moment" for the newspaper.