Evergreen is fighting a liability ruling all the way to the UK's top court following a 2015 smash between a boxship and a suezmax off Jebel Ali.
Quadrant Chambers, which will represent the Taiwanese owner, said permission to appeal to the Supreme Court has been granted.
This is the first liability appeal to reach the highest court and could be the first shipping case to be heard there since the last justice with commercial court experience left the bench.