I have not heard too many RPT jet pilots give a call at 1 nm. Probably, for the obvious reason that by then it's only 25 seconds and 300 ft above ground from touchdown. Most, including myself, seem to just call 'final runway...' when it fits into the rest of their workflow.
If other CTAF users have not heard previous calls, or are somewhere between the jet and the runway, it's probably a bit late to be calling at 1nm.
There are two references in the rules to the required calls. One says 15 nm, 5 nm, 3 and 1 nm while the other, only 15 and 5 nm.