A late goal from Ben Reeves secured the Shrimpers a 2-2 draw against the O's and a 3-2 aggregate win in the Southern Area final. And Sturrock now wants a win at Wembley against the Railwaymen, who beat Southend in the semi-final of last season's League Two play-offs.
"It's a chance for us to get revenge against Crewe after what happened in the play-offs last season and it's going to be a great day," said Sturrock.
"Crewe are a good side but it's going to be an occasion to really enjoy. I'm delighted for the fans of this football club because they've been through more than most in the past six years or so. But now they will be heading to Wembley and I couldn't be happier."
Southend went into the second leg with a 1-0 lead but Orient wiped that out within eight minutes when Shaun Batt converted a low right-wing cross from Dean Cox.
However, the Shrimpers equalised in the 61st minute when substitute striker Barry Corr collected Britt Assombalonga's header from a Kevan Hurst free-kick and volleyed the ball into the roof of the net from 10 yards.
Orient hit back, with David Mooney heading home a left-wing cross from Leon McSweeney in the 72nd minute and they remained on top after the goal with Batt hitting the crossbar after being teed-up by Cox.
But Southend stole it right at the death when Reeves converted a left-wing cross from Hurst to send the Shrimpers to Wembley for the first time in 83 years. And that left O's boss Russell Slade gutted at the final whistle.
"They are devastated in the dressing room, it's football and there is only one winner and you never want to be a loser," said Slade. "It is very hard to take and it will take a while but we need to show some character and bounce back.
"We came up short in the end but I have to say I didn't see that happening. We normally defend a lot better than that but we were winning and I thought we were the side that looked like scoring another."