Travelling on bussiness visa to USA after H1B visa stamping

USA H1B Visa
1

Hi Anybody pls clarify whether i can travel to USA on B1/B2 visa after my H1B visa stamping in India?Iam through the lottery this year and i got my H1B approved.

Previously i travelled two times to USA on B1/B2 visa during November - December 2012 and again Feb - March 2013.

Thanks

Kumar

2

Ideally it shouldn’t be an issue if You will have client letter mentioning business visit and duration.