You probably should order a new link & pin.
There is no guarantee that the link from your old barrel will have the proper hole spacing for your new barrel.
Because barrel links come in different size links...so you should order a set of 3 links.
I think Brownell's has a 3 link set.
Evolution Gun Works has a 6 link set but, it's $24.00 & I wouldn't invest in a 6 link set unless you were building a match gun.