Please suggest, If I should get a new passport issued with my latest address ? Or the current one will work?

My current passport has the address of my home where I don’t stay. We have given the house on rent.

I am worried if h1-b visa processing will require my passport to have my current address on it.

I got my application picked in the lottery. Please suggest if I should go for a fresh passport having my latest address or the old one is enough for me to go through the entire stamping process?

Note : During the process of application filing for H1B drive, I submitted the copy of my passport that holds my old address.

Is there anyone who faced the similar situation … ??
Can someone please help me on this ?