His Defence Secretary, Michael Fallon, was today expected to explain to MPs why British pilots embedded with the US military are already flying bombing raids inside the country, despite a clear parliamentary vote against action in Syria.
Speaking on the BBC's Andrew Marr Show, Richards said: "The current strategy won't work in the time I think we've got available. The current strategy is essentially one of equipping and training others to do the hard stuff for us. I think that could work, but the scale of effort going into it is woefully insufficient." He added: "If we really want to get rid of them ... we need to effectively get on a war footing."
Richards said he "utterly agreed" with the Prime Minister that Isis had to be removed, because their self-styled Caliphate was acting as "a lure and an attraction on all those others that may just be tempted to do things that we all abhor".
If the existing strategy, with no British and allied troops on the front line, was not effective within a year, "then I think we need to look at it again", he said. "Properly brought together with proper leadership and proper command and control it is a very doable proposition. But I worry that - what we call in the Army 'dribbling' instead of 'clouting' - if we dribble, which is really rather what we are doing at the moment, it is simply firing up the problem rather than dealing with it." Asked if sooner or later, ground troops would be needed on the front line, he said: "I suspect my bones are telling me that."
However, any escalation of Britain's commitment in Syria is sure to meet resistance. Cameron's indication he wanted Britain to join air strikes in Syria led one senior Tory MP to accuse him of making up his policy "on the hoof".
Julian Lewis, the chairman of the Defence Select Committee, called on the Prime Minister to present a more considered strategy to Parliament.
In his speech on tackling extremism, Cameron would today say in Birmingham that society must first understand what makes extremist ideology so attractive, before it can be defeated.
He was to set out new measures the Government would take over the next five years to try to stop alienated and isolated young people being drawn to the extremists' "sick world view".