David Luiz scored the decisive penalty after Fernando Llorente wiped out the lead Chelsea took through N'Golo Kante and Eden Hazard.
Chelsea battled past Tottenham to book a place in the EFL Cup final against holders Manchester City, triumphing 4-2 on penalties after a stirring 2-1 win at Stamford Bridge.
Maurizio Sarri got the desired reaction, having questioned the mentality of his Chelsea players in the aftermath of Saturday's defeat to Arsenal, as N'Golo Kante and Eden Hazard overturned the 1-0 first-leg deficit before half-time.
Tottenham, without any of Harry Kane, Dele Alli or Son Heung-min in a competitive match for the first time since October 2016, found a response of their own by pegging Chelsea back with Fernando Llorente netting an aggregate equaliser.