Town will be ball number 21 in Monday’s draw for the first round of the FA Cup.
The first-round draw will take place from 7pm live on BBC2 at the home of either Royston Town or Maldon & Tiptree, who meet in a fourth qualifying round tie on Saturday, and will be carried out by Karen Carney, a winner of the Women’s FA Cup on five occasions, and ex-Leeds striker Jermaine Beckford.
The 32 non-league sides who emerge victorious from this weekend's fourth qualifying round will go into the hat along with 47 teams from Leagues One and Two.
Due to Bury’s expulsion, one side will be given a bye through to round two but will be given the £36,000 prize money which goes to all round one winners.
The Blues will be playing at the first round stage of the competition they won in 1978 for the first time since the 1956/57 campaign when they defeated Hastings United 4-0 at Portman Road.
Town last won an FA Cup tie back in January 2010 when they beat Blackpool 2-1 in the third round at Bloomfield Road during Roy Keane’s time in charge.
Since then they have played 14 matches in the competition, four draws and 10 defeats.
Last season they were beaten 1-0 by Sunday’s opponents Accrington Stanley at the Crown Ground.
FA Cup Round One
1 Accrington Stanley
2 AFC Wimbledon
3 Blackpool
4 Bolton Wanderers
5 Bradford City
6 Bristol Rovers
7 Burton Albion
8 Cambridge United
9 Carlisle United
10 Cheltenham Town
11 Colchester United
12 Coventry City
13 Crawley Town
14 Crewe Alexandra
15 Doncaster Rovers
16 Exeter City
17 Fleetwood Town
18 Forest Green Rovers
19 Gillingham
20 Grimsby Town
21 Ipswich Town
22 Leyton Orient
23 Lincoln City
24 Macclesfield Town
25 Mansfield Town
26 Milton Keynes Dons
27 Morecambe
28 Newport County
29 Northampton Town
30 Oldham Athletic
31 Oxford United
32 Peterborough United
33 Plymouth Argyle
34 Port Vale
35 Portsmouth
36 Rochdale
37 Rotherham United
38 Salford City
39 Scunthorpe United
40 Shrewsbury Town
41 Southend United
42 Stevenage
43 Sunderland
44 Swindon Town
45 Tranmere Rovers
46 Walsall
47 Wycombe Wanderers
48 Hednesford Town or Boston United
49 Gateshead or Colne
50 Barrow or Solihull Moors
51 Whitby Town or Stourbridge
52 Hartlepool United or Brackley Town
53 Nantwich Town or King's Lynn Town
54 Chorley or Spennymoor Town
55 Southport or Altrincham
56 Tamworth or Darlington
57 York City or Stockport County
58 Notts County or Belper Town
59 Chesterfield or Wrexham
60 FC Halifax Town or Harrogate Town
61 AFC Fylde or Peterborough Sports
62 Whyteleafe or Chippenham Town
63 Haringey Borough or Yeovil Town
64 Havant & Waterlooville or Dulwich Hamlet
65 Ebbsfleet United or Woking
66 Welling United or Eastleigh
67 Bromley or Aldershot Town
68 Maidstone United or Kings Langley
69 Maidenhead United or Wealdstone
70 Oxford City or Margate
71 Bowers & Pitsea or Chichester City
72 Hayes & Yeading United or Poole Town
73 Royston Town or Maldon & Tiptree
74 Potters Bar Town or Barnet
75 Torquay United or Boreham Wood
76 Sutton United or Billericay Town
77 Weymouth or Dover Athletic
78 Dartford or Kingstonian
79 Carshalton Athletic or Dagenham & Redbridge