And the chance to add to their bulging trophy cabinet will come as early as next weekend when they take on the Ospreys in the RaboDirect PRO12 final in Dublin.
Success over the Welsh side will see Schmidt's troops become the first side to complete a domestic and European double since Wasps back in 2004.
And having already made history with their European success over Ulster, O'Driscoll is adamant that complacency will not be an issue as they look to create a dynasty.
"It will take a couple of days for it to properly to settle in but after we won our first title we talked about not being content with that and trying to create some sort of dynasty and something to be remembered by," he said.
"We're going in the right direction towards doing that but I know this team will be hungry for more. That's why it's enjoyable, You're going in day-in and day-out because you know you're going to be pushed by the guy next to you. We played for one another out there.
"The energy from all 23 was phenomenal; it shows where we are as a squad. I only came in for the knockout stages, for the important part, but the hard graft was put in during the group stages."
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