Do you have high carbon in your austenitic material?
Are you welding it?
If you are not doing a solution anneal after welding, you WILL HAVE SENSITIZED the heat affected zone next to your weld. No need to test for it- it WILL have happened.
People get confused about this all the time: low carbon austenitics are specified for aqueous services where sensitization can be avoided merely by keeping carbon content low.
In high temperature services, carbon content is REQUIRED by code for flanges for instance.
So: if you use a high carbon grade, can you avoid sensitization? No, you can't- unless you do a solution anneal after welding.
Does it matter?
If the part is continually in high temperature service, then no, it doesn't. The sensitization affects the performance of the material in aqueous services, which by definition need to be below about 360 C for an aqueous phase (one that we would recognize as such anyway) to exist.
So: if your equipment is subject to high temperature services such that high carbon is desired, and then to low temperature services where aqueous or similar (i.e. polythionic acid etc.) is expected? Yes- the solution is to go to a stabilized austenitic grade such as 321 or 347. It is, somewhat bizarrely, possible to buy 321H and 347H grades. A real metallurgist (i.e. not me) can tell you how the columbium/niobium or titanium can do their job from a corrosion protection standpoint in a grade which is already (and continues to be) high carbon, while also ensuring the necessary strength of the H grade. I've never had that explained to me in a way I could understand.