Lca query for job on H1b

If a associate has approved h1b petition for a state say New York for client say credit Susie till next year May end and then gets another job and has another approved LCA of another state say Connecticut for different client say up Morgan and amendment has been just filed 7 days back . So in this scenario can a associate still legally work from New York for new client J.P. Morgan for atleast 2-3 months from the date of his filed amendment?