Tyron Woodley is champing at the bit to get in the ring with Manny Pacquiao -- the former UFC fighter claims he's thiiiiis close to setting up a scrap against the boxing great ... telling TMZ Sports he wants to get the contracts signed ASAP.
Woodley -- who last fought Jake Paul in December 2021 -- told us he's been negotiating with Pacquiao for MONTHS ... but as of right now, they haven't been able to agree on the deets.
Woodley said he's now resorting to putting some serious pressure on Manny and his camp .