L1 to H1 Question

hi,
I was on L1 B and my visa had expired but was on extended I 94. i traveled to India for Holidays and reapplied for fresh L1 but got rejected. now my company is applying for L1 B Individual. Another company in US is filing my H1 B for 2016. My plan is to go back on L1 B if it gets approved on or H4 as my spouse is in US on H1.

a) So will there be an issue if i enter US while my H1 B is applied by a different employer?

b) I am not sure whether this is going to be a COS for my H1 B. i have heard that we shouldn’t travel outside US if COS is under process. so was confused how this things work now for my uncertain entry to US scenario.

Please advice…

Thanks!

a) So will there be an issue if i enter US while my H1 B is applied by a different employer?

No.b) I am not sure whether this is going to be a COS for my H1 B. i have heard that we shouldn’t travel outside US if COS is under process. so was confused how this things work now for my uncertain entry to US scenario

H1B will not start until October 1, 2016. When you apply for H1B - you can chose COS or not.