Fikayo Tomori helped Chelsea hold off a late Hull fightback with a 2-1 win in the FA Cup fourth round.
Batshuayi’s sixth-minute deflected opener set Chelsea on their way to a dominant opening half where they passed up a number of chances to add to their lead, and found home goalkeeper George Long in inspired form.
Hull improved after half-time but a sucker-punch second looked to have sealed Chelsea’s path when Tomori headed in Ross Barkley’s free-kick just after the hour mark.
But with 12 minutes to go, substitute Kamil Grosicki’s free-kick took a massive deflection off Mateo Kovacic’s boot to find the far corner and give the hosts a lifeline.
The Championship side pushed for a late equaliser in front of a sell-out home crowd but could not test Willy Caballero any further, as Chelsea progressed to round five for the fifth season in a row.