Even one company will sponsor H1 for you, you will still have a status gap before Oct 1 2005 if you do nothing. Last year, Dept of Homeland security released a rule to automatically extend any J1, F1's status to Sept 30, 2004 if the person had a pending H1 application filed before original J1 or F1 expiration. But no one knows whether DHS will do the same this year.