The France international was carried off in the 58th minute at White Hart Lane following an innocuous challenge with Kyle Walker.
Gouffran, who had earlier cancelled out Gareth Bale's opener for Spurs, received oxygen on the pitch but Newcastle's concerns were eased following an X-ray.
A club statement read: "Newcastle United are pleased to report that a precautionary X-ray has shown that Yoan Gouffran has not broken his right leg.
"The French forward was stretchered off during the second half of Saturday's 2-1 defeat at Tottenham Hotspur, and Gouffran will be further assessed on Sunday by the club's medical staff."
Magpies boss Alan Pardew had earlier reflected: "He's had an impact on his shin which was a nasty gash, he'd have probably come off with a gash anyway but it's whether there's any bone damage. He's gone for an X-ray and we cross our fingers that comes back okay.
"I haven't seen it back. I think when you see a big gash it disturbs you as a player."