Will a B1 visa rejection impact my H1B cap-exempt application ?

I have an expired H1B which is eligible under cap-Exempt. I am yet to apply for the Cap-Exempt though.

My company has initiated a B1 visa request for me as well. B1 visa situation unavoidable at company - no possibility to avoid this.

Will the B1 visa rejection impact / hamper my H1B cap Exempt application ?