[Dream38v8]

I currently have 6x16 bias ply tires on my '38 Deluxe Fordor that need replacing. Reading the many tire posts I've decided to switch to Diamondback Auburn Deluxe radials. To the best of my knowledge the 16" wheels are original. My question is do I need to also use inner tubes with the new radials?

Thanks in advance. Stay safe and healthy.