Why exactly? Do you know the current proc rate?
Engineering provides 1920 Agility with a 10 second duration and 60 sec cooldown, so 16.67% uptime which = an average of 320 Agi, which ~= 640 AP + 152 Crit rating + 241 Dodge rating.
According to
this article about Retribution professions, if the proc rate is the same as Cata, then Swordguard Embroidery = a 4000 AP, 15 second buff with a 55 sec. ICD, so it will proc approx. every 60 seconds for 25% uptime and an average of 1000 AP. That's assuming the ICD is the same as it was in Cataclysm.
Also, both of the previous posters mentioned JC, which is probably one of the worst professions for a Monk due to the Serpent's Eyes only providing +320 secondary stat. That forces you to gem Agility to get the maximum benefit. I agree BS is pretty awesome with +640 Crit but I'm just trying to run the math on Swordguard Embroidery since all of the sites seem to dismiss it, but it looks potentially good to me. However probably better for Strength tanks since they don't desire Crit..