With the scores locked at 1-1, substitute Wilson struck in injury-time for the 2-1 triumph.
Afterwards, a visibly pleased Nuno declared: "It feels good because we've been on the other side so many times this season, in the last minutes.
"To get the winning goal in the final moments of the game, in front of our fans, it means a lot. It means a lot for our fans.
"And let's put this energy for the next week. The first half was really good.
"It was really good the way we defended, the way we pressed, the way we combined and moved forward. Of course, in the second half, Spurs were going to react.
"There were a lot of balls in our box, but the players were resilient, they showed character and belief to keep the ball from going in the net. And then always with the hope that our luck is there for us to work for it. And I think, rightly so, we deserve it."
On Wilson, he continued: "(All of our players) that are here, we believe in them.
"We support them all that we can. Callum (Wilson) came in, with all these rumours going around, he came in and gave us the winning goal. So we are here to help.
"All the players must work. We are in a tough situation but we believe, and we have to keep going and working hard and believing more."