I would suggest not plugging your phones into a speaker jack, even if in parallel to the existing speaker, and certainly not by themselves. I think it's unlikely that you could get enough control on the master volume to prevent turning the voice coil of the headphone driver into instant toast. The likely next step is an open circuit, and if nothing else is plugged into the output jack, you're heading for output transformer trouble within a short time thereafter.
A good headphone driver might handle 200-500 milliwatts, 50-200 times less than what might be handled by a typical guitar speaker.
I would even stay away from using the effects send jack for such a purpose. I haven't studied the circuit diagram, but I suspect that it has voltage swings in excess of what a set of tiny headphone drivers would tolerate. Remember that a typical effects box has an input impedance of 1 megohm or greater, which means that little current is drawn by the input stage of the effect - and hence little power. Not so for the headphone driver; even if it is 32 ohms instead of 8 ohms.
Tube amps are designed to give great sound when hooked up to drivers with high-power handling capability - i.e. speakers with big voice coils and magnets. If you're looking for something to use to practice with phones, I would suggest you might look at a Pocket POD, Vox AmPlug, or one of the many other similar solutions.
EDIT - sorry, I forgot to look at phyrexia's Weber link before writing my post. The link posted to the Weber headphone tap would also provide you a solution as well. I would still suggest one of the portable, battery-operated solutions, though. Less fuss than a tube amp for headphone practice, little to carry, and no tube wear. Besides, the settings you might find useful for practicing the tube amp with the phones are likely to be completely different than those that are useful with the speaker.
Hope that helps.
Dave