Eubank Jr’s challenge against Interim WBA middleweight champion Chudinov will be the chief support for Fury’s defence of his WBO International heavyweight belt against Christian Hammer.
The Brighton fighter suffered his first career loss last time out against bitter rival Billy Joe Saunders but victory over Chudinov could put him on the road to a rematch, with Saunders set to take on Irishman Andy Lee for the WBO middleweight title early in 2015.
Chudinov is unbeaten in 16 professional fights, two of those in London, and he defended his title for the second time against Frenchman Mehdi Bouadia in August.
The card will also see IBF bantamweight champion Paul Butler bid to claim a second title at a lower weight when he challenges IBF super-flyweight champion Zolani Tete.
Butler was due to face the South African in October but Tete broke his hand in training and he went on to instead beat Ismael Garnica on points at the Echo Arena.
Promoter Frank Warren said: “It’s been a busy Christmas period, but I’m delighted to secure world title fights for Chris and Paul early in the new year which is fantastic news for them.
“For Chris, it was a close fight against Billy and the loss to a big rival would have been hard to take, but he now has a great opportunity to go straight back into the ring and claim a world championship belt and prove that he’s learnt from the loss and show that he’s the real thing.
“I believe that Paul is a super-talent and I’m especially pleased to deliver him a second and history making world title opportunity against Tete which should have happened in October. He gets the chance now and I’m sure he’ll grab the opportunity with both hands.”