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Poirier has shown off slick submission skills since joining the UFC. In five fights with the promotion, he has stopped both Pablo Garza and Max Holloway via submission.
In fact, as dangerous as he is on the feet, Poirier might be most dangerous on the ground. In 12 career wins, he has five knockouts and five submissions each, but lately, it has been his grappling that's been getting winning results.
With eight of his 13 career wins coming by way of submission, Brookins is a real threat on the ground. He specializes in the rear-naked choke, though he's also finished twice via guillotine.
Brookins' submissions are often a product of the suffocating wrestling he subjects opponents to, controlling them until they attempt to escape then taking the opportunity to wrap his arms around their neck.
An argument could be made either way here, but Brookins' submission game is really an extension of his wrestling, and I believe his wrestling will allow him to gain advantageous positions on Poirier. That is to say, if the fight goes to the mat, it's most likely Brookins will be on top, and on top is where both fighters will want to be.
A submission for either party is far from inconceivable, but a ground stoppage is Brookins's best chance to win, while Poirier's best bet is probably on the feet.
We'll call this a slight edge, but in this matchup specific scenario, Brookins should have an advantage in the submission department.