Fridge/Freezer door hinges

Hello. I am replacing an integrated Fridge/Freezer. The cabinet width is the correct standard width to accommodate a new unit but I am concerned that the new FF, which is approximately 5mm larger in width than the current FF, will foul the hinges connecting wooden doors to the FF cabinet (see image). Are there door hinges available that have a thinner body on the part fitted to the cabinet?

Thanks,

Des.