Harry Wilson struck twice in stoppage time to give Fulham a dramatic 2-1 victory over west London rivals Brentford on Monday.
Arne Slot has now won nine of his first 10 games since succeeding Jurgen Klopp as Liverpool manager.
Manchester United crashed to a last-gasp 2-1 defeat against Brighton and an Erling Haaland's hat-trick fired Premier League champions Manchester City to a 4-1 win against Ipswich on Saturday.
Zirkzee scored in the 87th minute after coming on as a substitute.
Manchester City closed in on a fourth consecutive Premier League title by thrashing Fulham 4-0 on Saturday, while Burnley were relegated from the top flight after a 2-1 defeat at Tottenham.
Manchester City closed in on a fourth consecutive Premier League title by thrashing Fulham 4-0 on Saturday, while Burnley were relegated from the top flight after a 2-1 defeat at Tottenham.
Pep Guardiola insists Manchester City will be prepared for whatever conditions come their way at Fulham on Saturday after training on long grass.
Liverpool got their Premier League title challenge back on track with a 3-1 win at Fulham on Sunday to move level on points with leaders Arsenal.
Tottenham missed the chance to move into the Premier League's top four after a 1-1 draw at West Ham, while Newcastle were also held 1-1 by Everton on Tuesday.
Tottenham wasted a chance to move into the Premier League's top four as they slumped to a shock 3-0 defeat at Fulham
Harry Maguire admitted "naive" Manchester United paid the price for being too attacking in the final minutes of their shock 2-1 defeat against Fulham on Saturday.
Liverpool will make their 14th appearance in the League Cup showpiece against Chelsea at Wembley on February 25.
Despite their lethargic display, Chelsea rallied to take the lead in first-half stoppage time.
Liverpool produced another comeback after conceding first to take a 2-1 lead over Fulham into the second leg of their League Cup semi-final on Wednesday
Arsenal's Premier League title challenge suffered another blow in a 2-1 defeat at Fulham while Tottenham beat Bournemouth 3-1.
Rebecca Welch became the first woman to referee an English Premier League football match when she blew the whistle on Fulham's game against Burnley at Craven Cottage.
Liverpool destroyed West Ham 5-1 on Wednesday to set up a League Cup semi-final against Fulham, easing the frustration of their weekend Premier League stalemate against Manchester United
Wolves boss Gary O'Neil said bad refereeing decisions were hurting his reputation and "people's livelihoods" after his team were on the wrong end of more VAR controversy in their 3-2 defeat at Fulham.