The Blues beat Bolton 2-1 at Stamford Bridge in their third-round tie, and will travel to the New Meadow to face the Shrews.
Liverpool will play host to Swansea at Anfield after a thrilling penalty shooutout win against Middlesbrough last night, whilst Tottenham are rewarded for their victory over Nottingham Forest with a home tie against Brighton.
Stoke take on Southampton whlst Manchester City face Crystal Palace or Newcastle at the Etihad.
West Brom's late winner against Hull sees them face Bournemouth, whilst Fulham take on Derby at Craven Cottage and MK Dons face Sheffield United.
Talking Points - Gameweek 6
Fourth-Round draw:
Tottenham v Brighton Stoke v Southampton Bournemouth v West Brom Shrewsbury v Chelsea Liverpool v Swansea MK Dons v Sheffield United Man City v Newcastle Fulham v Derby
The ties will take place on October 28th and 29th.
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