Successive wins have seen City climb to 17th place in the League 2 table and Worthington has challenged his team to keep the run going.
He said: "Performance-wise it was not a million miles away from where we were five days ago, but results-wise the wins have changed our position in the league. If we focus fully and concentrate, then we won't be far away from where we want to get to in the league.
"We had a few half-chances and they had some good chances in the first half which we got away with. We lifted the tempo and when you score that re-energizes you and we got two more which was pleasing.
"The goal against us was the only blip because it would have been nice to win 3-0.
"When you win games you must keep the momentum going. Today is history and we now move on to the Northampton game. We've got to make sure we roll our sleeves up, be strong, be determined and we'll go again."
Dagenham & Redbridge manager Wayne Burnett was left mightily disappointed as his side are now without a win in nine away games.
The visitors wasted two glorious openings early on through captain Abu Ogogo before York rallied to take control, with top-scorer Rhys Murphy scoring just a consolation late on.
A win would have seen Dagenham climb to within one point of the play-off places and Burnett feels the missed chances have cost his side dearly.
"I didn't see the result coming, but goals change games and that's exactly what has happened," he commented. "I'm actually distraught if I'm being honest. I feel absolutely gutted because in the first half we could have been two or three goals up.
"But they've scored through a mistake that came from us and from then on you are chasing the game.
"Maybe I've asked too much of these players, we've had a tough Christmas period but then so has everyone else. But I'm just very disappointed; it's the most disappointed I've been for a long, long time.
"I really feel we should have won the game. When you make a mistake and it costs you a goal, you have to regroup. Instead we gave a second goal away and I'm a little bit embarrassed for some of the mistakes we made today."