Travelling on B1/B2 while having valid H1B visa stamped

I work for company A in India, Have valid B1/B2 visa. Company B in US has sponsored my H1B and stamping is also done last month. I have not put down my papers yet in company A and they want me to travel to US on B1/B2 visa for 2 weeks for business meetings.

I will come back to India after 2 weeks and will go on H1B after couple of months.

Is it possible for me to travel to US using B1 visa while having a valid H1B visa too ? are they implications for travel or H1b visa?

Any help is greatly appreciated.