Liverpool were held to a 2-2 draw against West Brom at Anfield despite taking an early lead.
Henderson scored the opening goal for the Reds on 21 minutes but Dawson equalised soon after for the victory and Olisson put the Baggies ahead in the second half.
The Reds looked destined for their second consecutive defeat in the league until Origi rescued a point in the fifth minute of additional time.
Emre Can started for Liverpool in central midfield after returning from a suspension that saw him miss the 2-0 defeat against Newcastle United.
The Germany international of Turkish origin made the highest number of passes for his side (90) at an 85 percent assurances.
Can worked hard and contributed to attacking moves with his driving forward runs but the Reds were unable to find a winner and close the gap with league leaders Arsenal.
Liverpool vs West Brom
Liverpool confirmed line-up’s: Mignolet, Clyne, Skrtel, Lovren, Moreno, Can, Milner, Henderson, Lallana, Coutinho, Benteke
Subs: Bogdan, Toure, Firmino, Lucas, Allen, Origi, Ibe
Manager: Jurgen Klopp
West Brom confirmed line-up’s: Myhill; Dawson, McAuley, Olsson, Evans; Brunt, Fletcher (c), Gardner, McClean; Morrison; Rondon
Subs: Lindegaard; Chester, Gnabry, McManaman, Berahino, Lambert, Anichebe
Manager: Tony Pulis
Goals: 21′ Henderson, 30′ Dawson, 73′ Olisson, 90+5 Origi