Knock it out, load it up on narcotics, and while taming it use fence foundation plus walls to build it a little shelter very, very fast. Then run back to your base and request it! It’s too hard to keep alive otherwise.
Be warned these animals are very low on health so use traq darts not arrows. Also try to try to drag them out of the swamp because it's so hard to protect them. Best recommendation is that you bring at least 2000 narcos and you knock it out while having an ally tribe guard you so they don't do damage to your tame. Beware these need to have all eyes on them if you forget or have a moment of hesitation they will wake up and you will waste your expensive quetz kibble. Lower levels are better to tame for eggs cost less kibble but, higher levels are sometimes needed but will cost you dearly if you forget them. Good luck guys and watch your backs in the swamp.
Use narcoberries instead of narcotics. This is very important when taming an animal with high torpor drain. The narcoberries take longer for the torpor to rise, and narcotics take a smaller amount of time to rise. This is useful for a dimetrodon tame because narcotics will not last as long as the narcoberries and you want to have the torpor rising for as long as you can.