Can I work for another customer on L1-B visa

I’m working in India for xxxx employer. I hold L1-B visa from this employer. I worked in customer location, USA for couple of months and returned back to India . Now I’m assigned to another project and he is different customer present in USA.

My doubt is, do i need to undergo any LCA change kind of process before i start working to new customer on my L1-B visa?

I believe you need to file LCA and file an amendment as there is client change and location change.