A video has emerged of Jones making the remarks at an event for Japanese company Fuso last July.
The Australian said: "We've played 23 Tests, we've only lost one Test to the scummy Irish.
"I am still dirty about that game. We'll get that back, we'll get that back don't worry. We've got them next year at home, we'll get them back."
Jones also reflected on his time as Japan head coach, making reference to a 125-0 defeat for the Under-20 national team against their Wales counterparts soon after he took over the Brave Blossoms.