Green dismissed suggestions the injury could rule him out of the Warriors season opening clash against Canterbury on March 15.
The 139-game veteran was not expected to play in the Warriors first trial hit-out against Melbourne in Geelong on February 22, but is hopeful of being cleared to face Wests Tigers in their second and final warm-up game in Whangarei on March 2.
"I'm not sure yet, I haven't put a time limit on it," he said. "It's not a big concern. It's been made bigger than it is."
Green might be surprised by the level of concern over his hamstring but his status as the club's most experienced playmaker means his fitness will be under heavy scrutiny throughout the season.
Following the controversial off-season departure of Kiwi test No 7 Shaun Johnson to Cronulla, Green is expected to lead the Warriors attack alongside one of the club's young halves.
Former Penrith and Canterbury rookie Adam Keighran (21) and teenage Junior Kiwis playmaker Chanel Harris-Tavita (19) are the leading contenders to slot in alongside him.
Both players have plenty of potential but are yet to be tested in first grade and Green's long-term health will be pivotal to the side's title hopes.
Warriors assistant coach and Maori All-Stars head coach Stacey Jones said Green's injury was not a concern and believes his absence from training means the younger duo have more of an opportunity to find their feet.
The pair opposed each other at training today with Green shadowing them and offering tips, advice, and encouragement from the back-field.
"It's just precautionary," said Jones. "When players his age go through a lot of the pre-season it's tough on their bodies.
"When players like that pull up a little bit tight in certain areas you've got to give them a bit of a rest.
"Obviously when you have a key player not involved in training you've got to throw someone in there and it gives an opportunity for the other young halves to step up."
Jones will take four Warriors players - Adam Blair, Tohu Harris, Gerard Beale and Peta Hiku - into camp with the Maori side on Sunday, ahead of their clash against the Australian Indigenous All-Stars in Melbourne on February 15.
