The hosts, who occupy 10th spot in the table, will enter the match off the back of a 2-2 draw with Atletico Madrid on Monday, while Elche also picked up an impressive point at home to Villarreal in their last game.
Eduardo Coudet only took charge of Celta on November 12, but the 46-year-old has already made a positive impression, winning six, drawing four and losing five of his 15 matches at the helm.
The Sky Blues were struggling towards the bottom of the table when the new head coach was appointed, but they are now up in 10th position, just four points behind seventh-placed Real Betis.
As mentioned, Celta have not won in the league since the end of December, but they have picked up draws in their last three matches, including a 2-2 with leaders Atletico on Monday night, where Facundo Ferreyra struck in the final exchanges to ensure that the points would be shared.
Los Celestes have actually finished 17th in their last two seasons at this level but will be aiming higher in 2020-21; they have only won one of their last five La Liga games with Elche, though, and the points were shared in a 1-1 draw when the two teams locked horns for the reverse match in November.
Like Celta, Elche will also enter this match off the back of a positive result, having held a talented Villarreal team to a 2-2 draw on Saturday; the Yellow Submarine actually led 2-0 at the interval, only for Guido Carrillo and Lucas Boye to score in the second half as the points were shared.
Los Franjiverdes have won just three of their 20 league matches this season to sit down in 19th position in the table, two points behind 17th-placed Eibar with two games in hand.
The fact that Elche, who face Eibar in their next fixture, have two matches spare over the teams around them could prove decisive, but they have not won in Spain’s top flight since October 23.
Jorge Almiron’s side still have plenty of time to escape danger, though, and two of their three league victories this season have come on their travels, overcoming Alaves and Eibar in the early stages of the campaign.