The Black Cats secured a third successive victory over Newcastle United for the first time in 91 years.
Colback told the Sunderland Echo: "We know how important it is for the fans. We've not had great results in the past, but now we've won the last three and I think we've wanted it a bit more in all three games.
"Full credit to all the lads. I thought everyone was outstanding and we deserved the win.
"It's brilliant to make that bit of history.
"But for us, it was important to just the win the game and move up a few places.
"That's what we need to concentrate on and make this season an unexpectedly good one."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball