Goals from Son Heung-min and Harry Kane took the Lilywhites back to the top of the Premier League table.
Hojbjerg has been an ever-present in the league for Spurs this season and he once again demonstrated his characteristics that made chairman Daniel Levy fork out £15m for his services from Southampton in the summer transfer window.
The 25-year-old Danish international kept things simple in the middle of the park and his calming influence did not go unnoticed by the former Chelsea and Manchester United manager.
"Pierre is, first of all, very intelligent. He reads the game very well. He's going to be a coach one day, for sure," Mourinho told a news conference.
"He's a pain, asking questions about why we do this and why we do that. On the pitch, he reads the situation very, very well and the people that surround him are really compact, they read the game.
"Physically he's very, very strong and technically he's much better than people think. Because sometimes people think the guy that is good technically is the guy that does the backheel. The guy that is good technically is the guy that does something wonderful. But these are not my words. These are words from coaches of 30, 40 years ago. Simplicity is genius.
"And the guy is so simple in everything he does with the ball. And I think he's a phenomenal player. Congratulations, Mr. [Daniel] Levy [Spurs chairman]."
Hojbjerg is one of six players contesting for the Premier League’s player of the month award for November.