Two penalties in the space of four first half minutes set the Clarets well on their way to a straight-forward victory at home against Worthing from the Ryman South.
The first penalty came after Michael Cheek was chopped down by Will Hendon, with Cheek dusting himself off to send Jack Fagan the wrong way and the second came four minutes later after George Hayward inexplicably fouled Lee Sawyer in the area. This time Evans Kouassi took over penalty duties to double Chelmsford's lead.
A second from Cheek in the fifth minute of stoppage time put more daylight between the two sides before Mark Hughes made it safe early in the second half smashing home a Joe Ward rebound.
Cheek then completed his hat-trick after some direct running from Luke Callander to make it five and youngster Sam Gregory added more gloss to the score line by scoring late on.
The win makes it back-to-back wins for Chelmsford for the first time this season going into a double header of league matches next weekend against St. Albans and Concord Rangers.
Having watched Worthing in their 1-0 Ryman South win against Sittingbourne on Wednesday, Mark Hawkes was taking no chances of being on the wrong end of a cup upset sending out an unchanged line-up from the one that won 3-2 against Weston-Super-Mare last weekend.
Joe Ward’s header, following good work from Nicky Nicolau on the right and Evans Kouassi’s low effort from the edge of the area minutes later which Jack Fagan pounced on low to his right made for a bright start for the home side.
Not to be overawed Worthing created their first opening of the game thanks to some direct running by Omar Bugiel. Taking on three defenders the striker found space in the box only for Niklas Freund to hold on well.
Worthing then had the ball in the net after a looped ball over the top found Trevor McCreadie who beat Freund, only for the goal to be ruled out by the offside flag to the disappointment of the travelling Worthing fans behind the goal.
But some suicidal defending from Worthing put City right on the front foot as the visitors conceded two penalties in the space of four minutes.
The first came after City counter-attacked from a Worthing corner which set Michael Cheek away. After his initial effort was blocked, the ball fell kindly to the striker who was chopped down by Will Hendon. The City number 10 brushed himself off to send Fagan the wrong way and put City 1-0 up.
Four minutes later and Fagan was facing another spot kick after Leon Redwood fed the ball to Sawyer who was inexplicably stopped in his tracks by George Hayward. This time Evans Kouassi stepped up, and although Fagan went the right way Kouassi found the corner to double City’s lead.
With Chelmsford now well in control Cheek had a glorious chance to extend their lead further before the break after Fagan flapped at a corner from Ward, but the striker was unable to get his half-volley on target.
But Cheek made no mistake deep into first half stoppage time as he made it 3-0 to put one foot firmly in the third qualifying round of the cup.
A lovely little reverse ball from Sawyer found the run of Luke Callander – who had come on for the injured Kouassi. Callander’s drilled low ball found the run of Cheek who slotted home as the half time whistle blew.
Having not played particularly well in the first half, but still finding themselves three goals to the good, City made the perfect start to the second half when captain Mark Hughes scored on his 50th appearance for the club.
Finding space on the right Ward cut inside onto his left to get a shot away which was blocked by Matt Hurley. But the rebound fell kindly for Hughes who smashed the ball into the unguarded net.
The goal so early in the second half killed off any hope the Ryman South side would have had of staging a comeback as the second half began to meander.
But an injection of pace from Callander brought the Melbourne Stadium crowd to their feet as Cheek completed his hat-trick with the simplest of finishes.
Minutes early Callander had forced a save from Fagan at his near post after a lovely jinking run down the left. Callander repeated the trick moments later getting to the byline to force the Worthing 'keeper into another save only for the ball to fall kindly for Cheek to slot in his third and the Clarets’ fifth.
The comfortable nature of the score line allowed City to blood some of their youngsters with Harry Morgan and Sam Gregory given some game time, and Gregory made it a day to remember as he scored late on to make it six.
A perfectly weighted volley from Ward sent James Love free down the right, allowing the full back to pull the ball across for Gregory to score from close range to round off the scoring and send City sailing into this Monday's draw.
Following the full time whistle, City boss Mark Hawkes didn't want to get too carried away with his side's performance saying "I think we've just done enough" despite the comprehensive score line.
"We started the game quite slowly and didn't play at the tempo that I wanted them to play at, but after we got two penalties given to us very early from that point there was only going to be one winner."
Hat-trick-hero Michael Cheek was also very understated in his reaction to the match and his performance, saying "I just seem to be in the right place at the right time at the moment" having notched his fifth goal in his last two games, and sixth goal overall this season.
1. Niklas Freund
2. James Love
3. Leon Redwood
4. Mark Hughes (C)
5. Mark Haines
6. Yado Mambo
7. Lee Sawyer
8. Joe Ward
9. Evans Kouassi
10. Michael Cheek
11. Nicky Nicolau
12. Rohdell Gordon
14. Harry Morgan (On for Lee Sawyer 68’)
15. Luke Callander (On for Evans Kouassi 39’)
16. Christian Smith
17. Marvin Ekpiteta
18. Sam Gregory (On for Michael Cheek 73’)
20. Rob Girdlestone
1. Jack Fagan
2. Will Hendon
3. Harvey Sparks
4. Corey Heath
5. James Nicholls
6. Matt Hurley (C)
7. Lloyd Dawes
8. George Hayward
9. Trevor McCreadie
10. Omar Bugiel
11. Brannon O’Neill
12. Matt Piper (on for James Nicholls 30’)
14. Alex Laing
15. Jacob Peake (On for George Hayward 66’)
16. Curtis Gayler (On for Lloyd Dawes 54’)
17. Will Berry
18. Connor Cody
19. Ben Pope
Referee: Lee Betts (Norwich)
Assistants: Darren Stobbart, George Byrne
Chelmsford City: Michael Cheek (p)20’, 45 + 5’, 70’ Evans Kouassi (p)24’, Mark Hughes 52’, Sam Gregory 89'
Chelmsford City: Mark Hughes (45’ – Foul), Mark Haines (57’- Foul)
Worthing: Matt Piper (82' - Foul)
City Man of the Match: Michael Cheek