Joe Schmidt's side is on track for a clean sweep at this year's Six Nations, while England's loss to Scotland last time out ended its slam hopes.
But the title is still up for grabs heading into the penultimate round of games, when Ireland host Scotland and Eddie Jones's men travel to France.
Twickenham will then host what could be a decisive contest in the last set of fixtures, when Ireland legend O'Driscoll believes his compatriots could end a nine-year wait for a Slam, having dashed England's dreams of achieving the feat in 2017.
"Provided the job gets done against Scotland at home I think this team has a steeliness and a resolve to them," O'Driscoll said. "I think they make themselves hard to beat, don't concede a lot and pretty good at taking their opportunities.
"That all said it is one of the more of the difficult places to go and play in Twickenham. We denied England the grand slam last year, is it their turn to return the favour?
"I think if Ireland want to do anything in the World Cup in 18 months' time they're going to have to go Twickenham and perform well, let that take care of the result, but I certainly wouldn't be one to bet against them."