Depends, there is a tritium booster, essentially a little bit of tritium in the bomb improves the neutron economy. That could be called an H-Bomb, if we are not too pedantic.
If we were being pedantic we'd never use the term h-bomb - we'd be calling them thermonuclear weapons or Teller-Ulam devices if we're being really pedantic. Half the fusion fuel in a thermonuclear weapon starts out as lithium and half the energy comes from fast fusion neutrons fissioning the depleted uranium shell.
https://en.wikipedia.org/wiki/Boosted_fission_weapon