Antonio Conte insists that they have not given up on the top four, even if last week's limp surrender to Manchester City suggested as much.
For now, Chelsea can focus on this season's edition of the Champions League, in which they travel to Barcelona on Wednesday with the last-16 tie level at 1-1 after the first leg.
Chelsea players celebrate Willian's goal against Crystal Palace on Saturday.
Sorloth rammed the ball into the back of the Chelsea net with four minutes left but referee Anthony Taylor saw a push by Luka Milivojevic on Christensen and ruled the effort out.
Conte must decide whether to play Alvaro Morata or Olivier Giroud up front, or to continue with Eden Hazard as a false nine in tactics which were criticised during their loss at Manchester City on Sunday.
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Giroud then hit the post after 66 minutes with a first-time shot from a low cross by Alonso.
Saturday went just about as well as it could have gone for Chelsea Football Club. Olivier played against West Brom from the start, he played against Hull and he came on in other games, but he's ready. Andros Townsend, meanwhile, has been an inspirational figure for his side in recent weeks, and could be pivotal if they are to get anything at all from Stamford Bridge.
Palace, are in the relegation places, in 18th with just 27 points, one point behind Southampton and safety.
All things being equal, Chelsea's best approach against Barcelona would probably be to replicate the 3-5-2 system that underpinned their best performance of the season against Atletico Madrid in September, the last time they dominated and picked apart elite opponents. In his program notes, the Italian had promised supporters that they "will give everything to reach the top four in the Premier League".
Provided good attacking threat with his runs and crosses.
The Chelsea superstar finished the game with two shots, six key passes and eight dribbles. "It's very important to have a balance in the team because when you don't have that balance anything can happen".