Town will play Championship leaders Brighton and Hove Albion at home in the fourth round of the FA Cup if they defeat Lincoln City in next Tuesday's third round replay at Sincil Bank.
The Blues and the Vanarama National League leaders drew 2-2 at Portman Road on Saturday.
Town have previously faced the Seagulls in the FA Cup on two occasions. In November 1949 the Blues won a first round tie at Portman Road and won 2-1 with Harry Baird and Jackie Brown netting the goals.
Coincidentally, the teams met the following season at the second round stage at the Goldstone Ground in December 1950 with the Sussex side winning 2-0.
Overall, Town have the upper hand historically, having won 31 of the games (28 in the league) between the sides, Brighton 24 (22) and with 14 (13) having ended in draws.
The teams last met at Portman Road in the Championship in September when the game ended in a 0-0 draw.
If Town win their replay against the Imps they will play in the fourth round for the first time since 2010. Lincoln last made the fourth round in 1976.
Fourth round ties will be played over the weekend of Saturday 28th January.
FA Cup Fourth Round Draw
Tottenham vs Wycombe
Derby vs Leicester
Oxford vs Newcastle/Birmingham
AFC Wimbledon/Sutton United vs Cambridge/Leeds
Plymouth/Liverpool vs Wolves
Southampton/Norwich vs Arsenal
Lincoln/Ipswich vs Brighton
Chelsea vs Brentford
Manchester United vs Wigan
Millwall vs Watford
Rochdale vs Huddersfield
Burnley/Sunderland vs Fleetwood/Bristol City
Blackburn vs Barnsley/Blackpool
Fulham vs Hull City
Middlesbrough vs Accrington Stanley
Crystal Palace/Bolton vs Manchester City