Spurs announced on their official website the Belgium international will rehabilitate after almost fainting on the field of play, leading to his substitution in the first leg in London.
A statement read:
"Following a thorough review over the past 48 hours by our medical staff as well as by an independent neurologist with special interest in sport-related concussion today, it has been concluded that Jan Vertonghen did not suffer a concussion during Tuesday's Champions League semi-final first leg against Ajax."
"The Belgium defender suffered an injury to his nose due to a challenge during the game which resulted in heavy bleeding. He was deemed fit to continue playing after an on-field assessment. All Football Association concussion guidelines were followed."
Per Spurs' official website, Vertonghen had alerted medical staff in the home dugout he was feeling unstable after a collision with defensive partner Toby Alderweireld after 31 minutes.
The player initially returned to the field of play after treatment but only lasted a short period before his substitution. TV cameras showed Vertonghen struggling to walk as he was helped off the pitch.
The news of a nose injury will bring relief for Spurs as they prepare for the second leg at Ajax. Mauricio Pochettino's men also have vital games in the Premier League approaching, with upcoming matches against Bournemouth and Everton.
Spurs are four points clear in the race for a Champions League spot next term, and Vertonghen's availability will be important before the conclusion of the season.