In a game of few chances, it was the Minstermen who went closest to grabbing all three points with Michael Coulson seeing his effort blocked on the line in the closing stages.
The hosts are now unbeaten in four league games and Worthington feels it is just a matter of time before the results come right at home.
"The match was similar to the Cheltenham game as you are playing against teams who have been in and around the league for a long time," he said.
"I can't fault the players and I thought we played very well.
"The commitment and work ethic was of the highest quality but we just can't get the rub of the green at the moment at home to get us over the line. We're working at it and that's a good thing.
"We had three or four half chances that, on a good day, we might have stuck in the net, but apart from that I was very pleased. It's another clean sheet and we've got to keep using our imagination in the final third to create the chances and when we are doing that we will score."
Southend manager Phil Brown was disappointed that his side failed to create any meaningful chances.
Chances were limited for both sides throughout the game, Kevan Hurst going closest for the Shrimpers in the first half with his effort going narrowly wide of the target.
Southend are now without a win in six league games and Brown feels they need to improve in the final third to get back on a winning run.
"I'm delighted with the clean sheet and it is (goalkeeper) Dan Bentley's 13th of the season, so I'm very pleased for the young lad," he said.
"I just felt we didn't really do enough once again in the final third. We looked solid as a back four but York didn't really create too many chances. However, we are disappointed that we didn't put our best foot forward when we had the ball.
"You can make excuses about the surface but it was a better game than here last season when the ball was in the air for 75% of the time.
"We did try to play but York worked hard against us and I was just disappointed that we didn't create enough. We had chances to get a goal through Barry Corr's header but we just didn't have the quality with the ball ."
- Sports & Recreation
- Michael Coulson