"This is massive for us and all our team work incredibly hard," Pitman said. "We've had an incredible year."
Savvy Coup provided rider Chris Johnson, who opted to ride the three-year-old over runner-up Contessa Vanessa, with his fifth Oaks winner.
"I've been lucky enough to ride the two best fillies and I got on the right one," the 53-year-old said. "She's tough and very talented. Group ones are hard to win, especially at my age."
Savvy Coup settled midfield on the outer before Johnson made his move 800m from home.
"I couldn't really hang on to her much longer, I would have preferred to wait but the pace steadied and I didn't want to get too far off them when they quickened," Johnson said.
Savvy Coup drew alongside Contessa Vanessa 400m out before easing clear to win by a length and a-quarter with Milseain a similar distance back in third.
Caricature stuck on grimly for fourth ahead of the maiden Mark Two, who made solid ground from midfield. Savvy Coup was bred by the Chittick family's Waikato Stud and provided resident stallion Savabeel with his 17th Group One winner.