Sprint Sprint Fork Replacement

I'd say yes , all the T300 series had the the same everything ! Well almost ! Difference between models was limited to paint colours, badging, ancillary equipment , bars,pegs some lighting differences .
The speed triple might have had different brakes ? And possibly adjustable for preload suspension.!.!

 

Fairly sure they'll fit. I THINK the only difference with the Speed Triple vs SPRINT/TRIDENT is the offset in the yokes and added adjustability for the Speed. I'm pretty sure that stanchion diameter and length are the same.

The brake discs for Speed and Sprint look the same.

Edit :- the brake discs on your Sprint look like they're from a Speed/Daytona and appear to be either OEM or closely matched pattern parts. The reason I say that is that the carriers are gold coloured and they were (usually) supplied only on those Speeds/Daytonas that had gold coloured callipers. The carrier design and brake surface drilling pattern are the same as standard/original. If you don't want those originals and they're within wear tolerances I'd be interested in supporting your rebuild funds by taking them off your hands - at a suitable price!