Murray got through 49 minutes off the bench in South Sydney's win over Brisbane on Friday night, playing his first game in six weeks after a hip injury.
The lock's return has given him some chance of winning back his NSW jersey, with Michael Maguire to announce the side for Game II on Sunday night.
Maguire must decide whether Murray is ready to return to the Origin arena on June 26, and if so in what way he brings him back into the side.
One option would be for the Souths captain to start at lock, potentially at the expense of Origin I debutant Cameron McInnes.
Another option would be to go without Haumole Olakau'atu or Hudson Young on the bench, with Young having an unhappy Friday night for Canberra.
The door could potentially also potentially open for Murray if Olakau'atu (calf) or Liam Martin (quad) fail to get through the weekend, after their injury concerns.
Asked if he felt he was ready to play Origin off the back of one club game, Murray was confident he would be fit.
"Yes (I would be). I'll never say no to a New South Wales jumper if I'm ready," he said. "I love the jump. I love playing for the Blues I just have to see how we go (with selection).
"I came away from (the Souths return) injury free. A few cobwebs out there, but happy with the two points."
Murray's situation is one of several situations for Maguire to weigh up.
The Blues coach will decide if he will keep Jarome Luai and Nicho Hynes in the halves for the must-win clash, or call in the fit-again Mitch Moses.
Dylan Edwards is named to play for Penrith on Sunday as he tries to win the No.1 jersey back off James Tedesco, while a utility on the bench must be considered.
And there is the one forced change, with Latrell Mitchell making his case on Friday night to replace the suspended Joseph-Aukuso Suaalii at centre at the MCG.
The Rabbitohs fullback scored one try, set up another, had an 80-metre bust and pulled off a crucial one-on-one strip in Souths' 22-12 win over the Broncos..
"If I'm there, I back Latrell," Murray said. "He is my team at a club land. I know what he's capable of. So I know what he can do. It's not my call, but he's definitely earned it."