Shurmur, the Giants' new head coach, was the Vikings' offensive coordinator last season so he knows Stefanski well.
A few things stand in the way.
For one thing, Stefanski is also a candidate to fill the Vikings' opening at offensive coordinator, with Philadelphia Eagles quarterbacks coach John DeFilippo apparently his prime competition in that spot. DeFilippo also could be promoted to offensive coordinator of the Eagles if Frank Reich, Philadelphia's current offensive coordinator, lands the head coaching job with the Indianapolis Colts.
Another issue is that Shurmur plans to call the offensive plays for the Giants.
Ralph Vacchiano of SNY reports that Stefanski could also serve as quarterbacks coach for the Giants.