Town will face Cardiff or Birmingham City away in round six of the FA Youth Cup if they come through Tuesday's fourth round tie at Portman Road against Crystal Palace (KO 7pm) and then their fifth round match at home to Watford.
The fifth round tie must be played by the end of this month with the sixth round deadline February 14th.
The FA have now completed the competition's draw all the way through to the final. If Town get through those three rounds, then they'll play Liverpool, Chelsea, Nottingham Forest or Bolton in a two-legged semi-final.
A victory at that stage would mean a two-legged final against Manchester City, Newcastle United, Everton, Norwich City, Plymouth Argyle, Tottenham Hotspur, Sunderland or Arsenal.