With injury problems mounting, City travelled to Dunkirk still in high spirits.
A not so good start at the Ron Steel Sports Ground when Dunkirk dealt the first blow within 60 seconds.
Sam Yeomans, in for the injured Andy Gallinagh, headed up rather than out with Romello Nangle picking up possession 25 yards out to feed Anthony Wright who drove inside keeper Matt Gwynne's near post via the underside of the bar.
City wobbled for a few minutes but settled and sought glory down the sides, frequently finding space without showing enough composure until a 17th-minute leveller proved the perfect tonic.
Liam Lockett’s arced corner seemed to deceive skipper Jordan Stoddart but he adjusted well to nod across goal, using the pace and whip on the ball to take it past keeper Alex Smith.
That was the catalyst for City to swarm their opponents with Jordan Harrison leaving Adam Burton and Charlie Sheridan trailing in his wake only for Kyonn Evans to get caught on his heels in front of an open goal.
Harrison then flashed a fraction wide of the far post with Smith beaten and Lockett played in Evans to get smothered in the box who later fired in a cross-shot that James Baldwin lashed over.
The evasive second was finally grasped by Harrison who got past Sheridan and defied a bad touch to get back inside the recovering defender before scuffing in off the near post, the slice of luck his determination had deserved.
Nangle wanted a penalty after tangling with Gwynne four minutes after the restart but the one-way traffic soon continued with George Forsyth steaming in to nudge home another swirling Lockett corner missed at the near post by Sheridan.
Wright inexplicably headed wide Josh Barr-Rostron’s corner when all alone six yards out and after a scrappy spell, it was game over on 64 minutes.
There was an element of fortune to the fourth when Adam Osbourne fed lively substitute Josh Willis down the left of the box to drag well wide but Evans showed predatory instincts to tap in at the far post.
Dunkirk were a spent force with Evans lifting over and Joe Bates swinging wide of an open net from the right flank after Harrison had harassed Smith outside his area.
Bates kicked air when eight yards out with Osbourne’s driven follow-up cannoning off the backside of Burton on the line.
Osbourne's darts forward were finally rewarded when again latching on to a ball across the box to send it whistling high to Smith’s left 10 minutes from the end.
Harrison put the cap on a dazzling display with five minutes left, caressing home following a sustained spell of unblemished Worcester possession involving Forsyth, Osbourne and a one-two between Willis and Lockett that ended with the frontman having the time and space to pick his spot.
From the walking wounded to rude health, leaving Snape with a pocketful of potential antidotes for next opponents Wolverhampton Sporting Community.