If you need to do somewhere while taming it, let the torpor get low, then spam narcotics. As the torpor can't go down while it's still increasing from narcotics, you will get a small amount of extra time before it wakes up.
I dare you to raise one!! They are savage if you got two high lvl parents (about lvl 140ish) and you get imprinting on it. The thing will become an adult with about 230% melee and basically one chomp any bronto!!! But on the down side you loose your job and your girlfriend