unlawful H1-B status

If I have H1-B visa and get a new job but don't file the paperwork for 2 weeks after I leave the first job am I considered to be in the US unlawfully? Please help as INS is really giving me a hard time about this. Thanks for any comments.

If I have H1-B visa and get a new job but don't file the paperwork for 2 weeks after I leave the first job am I considered to be in the US unlawfully? Please help as INS is really giving me a hard time about this. Thanks for any comments.