It won't work.
You'll be able to physically connect them, but the metering will flip-flop between (say) f/4 and f/5.6 typically. Focusing will hunt but never lock.
I've never got Kenko TC's to play nicely with Sigma HSM lenses (120-300,70-200,100-300 and 150mm tested).
The Kenko will work on non-HSM screwdriven Sigma's only.