Jose Mourinho’s men were left frustrated by Neil Adams’ relegation strugglers in a result that puts a major dent in their faint title hopes.
It caps a disappointing week at Stamford Bridge following their mid-week Champions League exit at the hands of Atletico Madrid.
Elsewhere on Sunday, Arsenal beat West Brom 1-0 at the Emirates Stadium thanks to an Olivier Giroud goal.
— This Is Anfield (@thisisanfield) May 4, 2014
The Reds were knocked off the top spot on Saturday when Manchester City beat Everton 3-2 at Goodison Park to go level on points (80) with the Reds, but with a nine goal superior goal difference, after 36 games.
Chelsea have played a game more than both Liverpool and Man City, with Brendan Rodgers taking his men to Crystal Palace on Monday night, and Manuel Pellegrini’s side facing Aston Villa at home on Wednesday.
Victory, or a draw, for Liverpool at Selhurst Park on Monday will see the regain top spot. City would then need to match Liverpool’s result in mid-week to be top of the table going into the final day of the season.
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Liverpool are waiting on late fitness tests to see as to whether Daniel Sturridge will be available to face the Eagles, whilst Jordan Henderson sits out, serving the final game of his three match ban.