Joe Ledley gave Palace a second-half lead against the run of play after Liverpool had dominated the opening 45 minutes.
Sometimes in football you just get a break, and that [McCarthy’s] slip was Liverpool’s
James Milner received a red card shortly after Palace’s goal to leave Liverpool a difficult task to get back into the game.
However, Liverpool came from behind to secure victory with 10 men for the first time in 124 years.
Roberto Firmino capitalised on Alex McCarthy’s slip to level before substitute Christian Benteke converted an added-time penalty to seal a 2-1 victory, prompting praise of Klopp’s tactical alterations during the game.
However, former Liverpool defender Lawrenson believes the Reds just got lucky after McCarthy’s unfortunate slip handed the visitors a route back into the Premier League clash in London.
“Klopp’s hand was forced because his side were a goal and a man down with half an hour left, and he had to gamble,” Lawrenson told BBC Sport.
“It looks good because it came off but, if Palace keeper Alex McCarthy had not slipped to gift them an equaliser, I did not see Liverpool scoring at all.
“Until then, they had been very ordinary. They did not even manage a shot on target until the 65th minute and, after they had been so good against Manchester City on Wednesday, it was a performance that summed up their inconsistent season.
“Sometimes in football you just get a break, and that slip was Liverpool’s.”
Liverpool are in seventh place in the Premier League table and six points behind fourth-placed Manchester City in the race to secure a spot in next season’s Champions League competition.
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