Vertonghen played in a mask during Tottenham's 3-2 second-leg victory to protect his nose, following a sickening clash of heads with team mate Toby Alderweireld during the 1-0 loss in the first leg in London.
The 32-year-old completed the full 90 minutes in Amsterdam and helped the north London club secure a place in the final against Liverpool in Madrid on June 1.
Though Spurs have not yet commented on Vertonghen's state, the injury puts him in doubt for the final Premier League game of the season against Everton on Sunday.
Mauricio Pochettino's Spurs, currently fourth above Arsenal in the table, are all but assured of a Champions League qualification spot next year due to a superior goal difference over their north London rivals.
(Reporting by Hardik Vyas in Bengaluru; Editing by Andrew Cawthorne)