Joe Schmidt's men head to Twickenham unbeaten and are in line for only their third clean sweep following previous 'Slams in 1948 and 2009.
O'Driscoll was the captain during that last success and has been encouraged by what he has seen from his fellow countrymen in recent years.
The former centre is now backing them to complete the Grand Slam, on what is likely to be a lively St Patrick's Day at Twickenham.
"I do think they will beat England," O'Driscoll said.
"I liked the look of them at the start of the year. I am not a punter but I had a small punt on them for the Slam.
"I think they are building and have set themselves up to be quite difficult to beat.
"The amount of tries they have scored in and around the ruck - they will back themselves going to a line-out and producing."