Visa Appointment Questions for H4 Dependents

I am travelling to India from the US for Visa Stamping for H4
Dependents. Our Schedule In-Person appointment is on June 14th(Biometrics)
and 15th (Interview) 2023.

My husband who is the Primary H1B has a Drop box
Appointment on 12th June2023. We wanted to check to see of that will cause
a problem as by the time my husband will get his passport it will take a
weeks’ time and my interview is before that.

Appreciate your kind response.

They may approve after H4 after the H1B is approved, but you can go ahead with the scheduled appointments.