The 32-year-old believes that the Baggies' recent form means that they will not fear Jurgen Klopp's side.
The Baggies may have won just once in their last five games, but Sunday's trip to Merseyside will be their sixth consecutive game against a side in the Premier League's top eight. And Olsson reflects that their last three results should give them the confidence they need to surprise the Reds.
"We're unbeaten in three against really good sides so we go to Anfield with a lot of confidence," he said.
"It's going to be a tough game but we're looking forward to it," he added.
Having lost to league leaders Leicester City and then Manchester United at the beginning of their daunting six-game run, Tony Pulis' men bounced back to record a victory against Arsenal, before draws against West Ham and Tottenham.
And West Brom have showcased their fighting spirit in those last three fixtures, having found themselves behind in each game, before claiming at least some of the points.
Meanwhile, although Jurgen Klopp has instilled a confidence in his side that has seen them claim seven wins in all competitions since his arrival, last weekend's defeat to Newcastle confirmed that they cannot afford to become complacent, otherwise, West Brom's unbeaten run could stretch to four games.