Can I apply H1-B to L1-A conversion for my current company and H1-B through a different company at the same time?


My Company ABC is going to process H1-B to L1-A conversion next month.I am looking for jobs and if I get one, that company will file file my H1 petition when my L1-A petition will be with USCIS. Could you please give your inputs on whether both L1-A (current employer) and H1-B (new employer) can be applied at same time. Will there be any risk in this?