"It was a bit less than we normally do, and he tested [Friday] and it wasn't quite right.
"It's up to the All Blacks now and he'll go into camp and they'll assess it during the week but I hope he's available."
The injury comes at a bad time for both Goodhue and the All Blacks.
With Sonny Bill Williams ruled out of the series after undergoing keyhole surgery on his knee and Crotty's concussion issues, Goodhue seemed likely to be given a good crack during the series and was a potential starter for the first test of the year.
But now he joins a growing injury tally that will no doubt concern Steve Hansen.
Goodhue, Taufua, Williams and Crotty are either in doubt or ruled out of the opener. Locks Whitelock and Brodie Retallick are also in trouble, though the seriousness of Retallick's pectoral injury is yet to be determined.