I'm looking at buying a 2nd hand Remus Genesis can for my newly delivered, shiny K4

The can is currently on a K1 and includes the link pipe. Will I need a new link pipe on the K4 or will the supplied one be OK? (the bore is 54mm)
And if so roughly what kind of cost am I looking at? I read a thread from March around a similar Q and looked online but I can't find a price for a K4 link pipe.