The two rivals played out a thrilling 2-2 draw at the Emirates, with the visitors going ahead thanks to a close-range finish from Christian Eriksen after a weak save from Bernd Leno before a typically powerful penalty from Harry Kane.
But Arsenal fought back well, with Alexandre Lacazette kick-starting the recovery on the stroke of half-time with a booming finish before Pierre-Emerick Aubameyang tapped home a cross in the second half.
Arsenal had much the better of the play in the second period – and had a third goal ruled out for offside – though Mourinho feels Spurs showed enough in the match that they can finish third this season.
Asked who will finish higher and claim north London bragging rights this season, Mourinho told Sky Sports: I still think Tottenham.
Its Man City and Liverpool and I still think Spurs are the third-best team. However, I like many things in the Arsenal squad.
Jamie Redknapp is also backing Spurs to finish ahead of Arsenal for a fourth straight season but warned that they need to improve markedly.
He explained: I am going to go with Spurs because I think they will get better.