There is a VERY EASY way to keep your pet from dying from the dots. (Must be a beastmastery hunter)
Glyph of Endless Wrath - Item - World of Warcraft prevents your pet from dying for 10 seconds.
Combine that with
Yaungol Slayer Battlegear - Item Set - World of Warcraft and that's 16 seconds of invincibility on your pet to make transporting the dots stupid easy.
Pop bestial wrath as soon as you get the super OP dots on your pet, dismiss and by the time you re summon it at your destination bestial wrath will be off cooldown so you can pop it again
QUICKLY before the dots rape your pet and give the warlock time to soul swap the dots back off the pet.