President Trump couldn't give Conan, the ISIS-killing dog, a real Medal of Honor ... so U.S. Special Forces just cooked up a new award so DT could present it to the four-legged hero.
We've learned U.S. Special Operations fashioned a one-of-a-kind medal for Conan -- the Belgian Malinois canine credited with helping off ISIS leader Abu Bakr al-Baghdadi earlier this month in a U.S.-led raid -- which 45 gave the pooch during Monday's visit to the White House.
A U.S. Special Ops spokesperson tells TMZ ... the award has no specific name, and it was created specifically to recognize the dog for his contribution to the al-Baghdadi operation. We're told Special Ops created the award specifically for Trump to present to Conan.
As you know ... Conan wasn't eligible for the actual Medal of Honor, because those only get dished out to humans.
We're told the White House and the Department of Defense had nothing to do with Conan's unnamed award ... it was purely a Special Ops creation.