Yes i already running with Ngnix And Wordpress(I have only 5 wordpress site on Dedicat), but problem is Site Not fast , get more loading time, Thats why im find Way get more fast my server , ON here , plz advice me .
depending on how you configure litespeed and nginx, make sure there is no conflict between them.
for example, assigned a dedicated IP to the website powered by litespeed, assign other IPs to nginx, there should be no conflict. and the answer of your question is: yes
First, are you using a CDN like Cloudflare on your website with WP Super Cache? If yes, that might be the problem. If your CDN is not configured properly you will get "The pages do not match! Timestamps differ or were not found!" in WP Super Cache. This article might help https://www.msgdigital.com/wp-super-cache-tester-pages-not-match-fix/
I had that same problem too and I resolved it. If you follow the article step by step you will be able to resolve it.