He was named as NSW's 18th man and withdrawn via a sternum injury, before his club named him for and then pulled him out of last weekend's loss against Canberra.
Had he been passed fit by NSW, he would likely be in the side for Wednesday's Origin 1, with Blues' Latrell Mitchell recently pulling out of the side with a calf injury.
Graham has been named alongside Origin talents Cameron Murray and Jai Arrow, who appear set to back-up on Saturday after game one.
The Titans will miss Kieran Foran, rested after playing through a foot injury in recent weeks, for the next fortnight.
They have moved Jayden Campbell to five-eighth and recalled teenage sensation Keano Kini at fullback.
Canberra have followed through on their pledge to rest Jarrod Croker for their game against Wests Tigers at Campbelltown, meaning his 300th game can be at home.
They have added Nick Cotric to start on a wing and shifted red-hot Albert Hopoate to the centres, while Hudson Young is named to back-up from his NSW Origin debut to replace Corey Harawira-Naera.
Wayne Bennett has opted to rest Queensland Origin duo Hamiso Tabuai-Fidow and Tom Gilbert for the Dolphins' trip to Auckland to face the Warriors on Saturday.
Utility Kodi Nikorima will continue at No.1 after an impressive display against St George Illawarra, with Ray Stone remaining in Gilbert's lock position.
The Warriors have had a triple boost, with Wayde Egan back to replace Freddy Lussick (head), while their bench has added Dylan Walker and Mitch Barnett.
The Sydney Roosters will persist with Joey Manu at five-eighth in Sam Walker's absence, one of two huge inclusions for their clash with Canterbury.
Jared Waerea-Hargreaves returns to start in the front row for the Roosters, with Daniel Tupou named on the extended bench as he seeks to overcome a hamstring injury.
The Roosters will be without injured Brandon Smith and suspended Victor Radley.
North Queensland are keeping their cards close to their chest, naming Origin talents Valentine Holmes, Reuben Cotter and Murray Taulagi on their extended bench for their game against Melbourne.
They have also named lock Jason Taumalolo and second-rower Jeremiah Nanai, while former Canberra back Semi Valemei will start for his club debut.
Siosifa Talakai is back from injury at centre for Cronulla's meeting with Brisbane, replacing in-form utility Connor Tracey.
The Broncos have named all their Origin players to back-up, with winger Corey Oates picked on the extended bench after his hamstring injury.
Reigning premiers Penrith have also named their full contingent of Origin players but have a number of young guns on their extended bench as cover.
Centre Izack Tago and bench forward Spencer Leniu are also on the bench after beating injuries.
St George Illawarra have lost Jack Bird to a knee problem, although Jaydn Su'A is back from a similar injury.
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