Mourinho has been settling into life at the north London club after he was brought in as Mauricio Pochettino’s successor last week.
Tottenham made a winning start under Mourinho with a 3-2 victory at West Ham United on Saturday, before they produced an impressive comeback to beat Olympiakos 4-2 in the Champions League on Tuesday.
Spurs will take on Bournemouth at home this weekend before they prepare for a trip to Old Trafford to take on Manchester United on Wednesday 4 December.
The Lilywhites are also set to face Mourinho’s other former team Chelsea FC in north London on 22 December, their final Premier League game before Christmas.
Former Manchester United midfielder Keane feels that Mourinho will already be relishing the prospect of getting his team ready for the clashes against his former employers in the coming weeks.
Speaking on Sky Sports, Keane said: “Mourinho will love playing Chelsea and will love going back to Old Trafford in a couple of weeks.
“His ego will be really big. He’ll be strong with his ego because that’s what he’ll be looking forward to. That’s what he’s in the game for, he’s a big character, his CV is amazing.
“We have to respect that, it’s good to see him back and hopefully there’s some fireworks on the touchline.
“We’ve seen it today, he was dead nice to everybody. I hope he’s not too nice, we need to see that nasty side. I’m sure we will when he starts dropping points.”
Tottenham are currently in 10th place in the Premier League table as they look to try and break back into the top four spots and secure qualification for next season’s Champions League.
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