"I would never walk out of the house without her approval," the "Turbo" star said in a statement.
He recently attended the premiere of his new animation film "Turbo" in Barcelona, and later went on a romantic date with Lively in the city.
"Turbo" is a 3D comedy about an underdog snail whose dreams kick into overdrive when he miraculously attains the power of super-speed.
The movie, releasing July 19, also features Paul Giamatti, Michael Pena, Snoop Dogg, Maya Rudolph, Michelle Rodriguez and Samuel L. Jackson.
Mumbai Roundup: 9 incidents that took place this week
Photos: Ajay Devgn, Parineeti, Tabu at 'Golmaal Again' trailer launch
Photos: Dipika Pallikal Karthik oozes oomph in bikinis and sarees
Photos: Kareena Kapoor Khan's grand birthday bash
Photos: 'Dangal' girls Sanya Malhotra, Fatima Sana Shaikh's dinner outing