As long as the mg strength of the narcotic is strong enough to affect your pain,
you can do without the tylenol. If
you having a rough day
and need more, rather than taking more of the narcotic, just take two ibuprofen with your oxycodone. That will boost the strength of the oxycodone only when you need it, and not cause you to be taking an overabundance of unnecessary Tylenol. Hope this helps.