According to reports, Cameron has approved a minimum pricing plan which would set the price per unit at 40p.
However, it is thought that the Prime Minister could face a Tory rebellion over the plans.
Press reports over the weekend said that the issue came to a head at a meeting of the Home Affairs Committee.
Cabinet Secretary Jeremy Heywood convened a special meeting at No 10 last Thursday with senior Whitehall officials to discuss the issue.
Heywood is reported to have told them that Chancellor George Osborne would announce an intention to introduce ‘alcohol unit price control’ in the Budget on March 21.
It is reported that the move has infuriated Andrew Lansley, the health secretary, who believes it will hit people on low incomes hardest.
Rumours claim that a minimum price would be introduced in April 2015.