Re-entering USA on L2 through border crossing

Has anyone tried to re-enter USA at border crossing on L2 visa with a valid stamped l2 visa?
Greatly appreciate if you can let me know the process.

Few more details:
My spouse is on L1 and I have a valid stamped l2 visa on my passport
I am currently in USA and on a different visa category. I would like to have L2-S on my i94 for employment, which is why I plan to move to L2.