make certain its spider mites ....then follow directions for spider mites on the neem oil label
reason I say that .... a few of my plants Do have spider webs ....but they were not made by spider mites - they were made by jumping spiders .... and they eat everything ....they are beneficial and can stay around - if I spray any kind of insecticide - including insecticidal soap it will kill off my army of jumping spiders
neem oil is applied ...then reapplied after so many days .... and third and 4th application my be required ....
make certain to spray down the entire plant .. including under leaves, and stems ...every nook & cranny ...to run-off
if its hot and dry ...that is a perfect environment for spider mites ....increase the humidity levels by misting plants - and decrease the heat - by adding a fan