Sunday's brilliant 3-1 win at Championship side Preston North End means Grant McCann's side are in the last 32 of the world's most famous knockout competition.
The draw will take place on Monday evening on BBC OneÂ following the conclusion of the televised game between Wolves and Liverpool.
Rovers collected Â£135,000 in prize money for beating Preston. Fourth round winners will scoop Â£180,000.
The fourth round is scheduled to take place between Friday 25 January and Monday 28 January.
1Â BOLTON WANDERERS 2Â MILLWALL 3Â GILLINGHAM 4Â BRENTFORD 5Â SHEFFIELD WEDNESDAY OR LUTON TOWN 6Â MANCHESTER UNITED 7Â EVERTON 8Â TOTTENHAM HOTSPUR 9Â DONCASTER ROVERS 10Â NEWCASTLE UNITED OR BLACKBURN ROVERS 11Â CHELSEA 12Â CRYSTAL PALACE 13Â DERBY COUNTY OR SOUTHAMPTON 14Â ACCRINGTON STANLEY 15Â BRISTOL CITY 16Â NEWPORT COUNTY 17Â OLDHAM ATHLETIC 18Â SHREWSBURY TOWN OR STOKE CITY 19Â ARSENAL 20Â MANCHESTER CITY 21Â BRIGHTON & HOVE ALBION 22Â WEST HAM UNITED 23Â WATFORD 24Â BURNLEY 25Â QUEENS PARK RANGERS 26Â BARNET 27Â PORTSMOUTH 28Â AFC WIMBLEDON 29Â WEST BROMWICH ALBION 30Â MIDDLESBROUGH 31Â WOLVERHAMPTON WANDERERS OR LIVERPOOL 32Â SWANSEA CITY