It's not really about can handle, but more is specified to handle at maximum length in a dense conduit.
At shorter lengths, and in single runs, it's always worth trying something beyond what the wiring jacket says. I've run gigE over a run with a small section of cat3 coupled to a longer cat5e run (repurposed 4-pair phone wire), and just recently setup a 10G segment on a medium length of cat5e. The only thing is while I think 2.5G/5G devices do test for wiring quality, the decimal speeds don't, auto-negotiation happens on the 1Mbps link pulses, unmanaged devices can easily negotiate to speeds that won't work, if your wiring is less than spec, you need to be able to influence negotiation on at least one side, in case it doesn't work out.
I always find the graphic below handy for telling which Cat cable can handle which Gig speed:
* https://en.wikipedia.org/wiki/Ethernet_over_twisted_pair#Var...