Kobe Bryant and his estranged wife Vanessa didn't appear too estranged last night ... strolling around NYC together last night arm in arm ... but sources tell TMZ, it's a different story behind the scenes.
Kobe and Vanessa looked as couply as a couple could look on their way out of the 12-12-12 concert at Madison Square Garden ... even sharing a ride home.
Of course, in public ... Kobe and Vanessa appear to be well along the road to reconciliation ever since she filed for divorce in 2011 -- kissing in public, lunching together and now going on concert dates.
But sources connected to the couple tell TMZ ... Kobe ain't outta the woods yet.
We're told the two have been on and off so many times, one source tells us, "It's like high school ... sometimes they're together, sometimes they're not."