The Kangaroos expect Goldstein, who suffered a knock to the left shoulder during the first quarter of Friday night's 39-point loss to Essendon, to be fit for their round two clash with Western Bulldogs at Etihad Stadium on March 30.
Goldstein played out the game but was clearly limited by the injury in rucking and marking contests.
"Todd had scans on Saturday morning which showed no signs of any ligament or joint to damage to his left shoulder," the Kangaroos said in a statement on Sunday.
"The club's remains hopeful he'll be able to play against the Dogs on Sunday.
"He may require further precautionary scans this week in the lead-up to the game."
Two-time All-Australian Nathan Brown has turned the blowtorch on North's midfield, saying they don't work hard enough defensively.
Brown says joint vice-captain Jack Ziebell is a terrific player but dropping him would be a way of shaking up the club and delivering some home truths.
"Ziebell the other night was on Brendon Goddard. He just gave him 20 metres," former Western Bulldogs and Richmond forward Brown told Nine's The Sunday Footy Show.
"He was trying to point to him to try to get somebody else to take him.
"That's been going on for two or three years at North Melbourne. It's something that footy club have to change if they're going to play finals this year.
"I would drop Ziebell after one game.
"On a couple of occasions the other night, he just didn't want to go the other way."
North's injured captain Andrew Swallow described the loss as extremely disappointing, particularly in the contested-possessions area.
Swallow said fifth-year coach Brad Scott's post-match spray to his players was blunt.
"He went hard, probably as hard as what he has in his tenure," Swallow told The Sunday Footy Show.
Swallow backed Ziebell to stay in the senior team and said the Kangaroos could only hope Friday's performance by the team was a one-off.
