The result means Spurs now travel to group leaders Barcelona - who have already qualified for the knockout stages - in two weeks' time knowing that a win would see them join Ernesto Valverde's side in the next round.
That won't be easy against Lionel Messi and company, but Pochettino has faith.
"When people say something is going to be hard I am so excited to show it is possible to do".
"So this game will be a good measure of how far they have come - they played some big teams earlier in the season and fell short".
'It is a game the fans want to win and one that we want to win.
"To arrive at Barcelona and compete in our best we need to have fresh legs, fresh minds, no injuries".
"They are serious professionals", he said. I expect they'll play with the best players but today I don't know how they'll prepare the game. But of course it will be so hard and we need to focus now on Sunday - another derby against Arsenal.
Jose Mourinho celebrated Manchester United's winning goal by attacking water bottles
Jose Mourinho has told Manchester United to prove they are a big club and push the boat out to keep David De Gea . Lukaku did add, however, that he was one of Mourinho's "favourites" in the United squad.
With Wembley as cavernous as ever, Spurs quite simply had to beat their Italian opponents to avoid being buffeted out of the competition.
A Dele Alli shot over the bar aside, however, they struggled to really create any clear-cut opportunities in the opening half an hour.
For Spurs to take their Champions League hopes to the final game is an impressive achievement after a terrible start to their Group B campaign, where they had just a point at the halfway stage.
Faced with a do-or-die situation, Pochettino had claimed it was "massive motivation" for Tottenham to silence the critics who said they had blown their chance to make the last 16.
"But they have not played anything like they did the season before".
The Gunners are now on an 18-game unbeaten run under the stewardship of Unai Emery and have already sealed their progress to the next round of the Europa League.
One of four changes to the side that started the 3-1 win over Chelsea here on Saturday, Lucas Moura sent a weak shot down the middle for Samir Handanovic to keep out 33 minutes in following some good play from Moussa Sissoko in the build-up.