Despite impressing in a training match on Friday on his return from a hamstring problem, the Argentine has been left out Gerardo Martino's squad but there is a spot for Valdes
The four-time Ballon d'Or winner has not played since sustaining a hamstring injury in a 4-1 win at Real Betis on November 10.
But the Argentine superstar returned to training this week, scoring a hat-trick in a practice match on Friday, but Sunday's match has come too soon for the 26-year-old, and is more likely to be ready for the huge game against second-placed Atletico Madrid next weekend.
However, Barcelona do welcome back Victor Valdes. The goalkeeper, who is set to leave the club at the end of the season, is available again following his recovery from a calf problem and is in line to replace Jose Manuel Pinto in between the posts.
Meanwhile, Sergio Busquets is banned after picking up his fifth booking of the season in the 5-2 win at Getafe prior to Spain's mid-season break.
That victory represented Barcelona's fifth in succession across all competitions and the Catalan club have dropped only five points in La Liga this season.
In contrast, Elche have won just four league games and begin the new year two points above the relegation zone, in 14th.
Elche are missing two players - Damian Suarez and Coro - through suspension and will be huge underdogs to take anything from Camp Nou in their first top-flight season since 1989.
Fran Escriba's men have lost four of their previous five matches and boast only one victory in 10 outings - a 2-1 triumph over Valencia on November 24.
Barcelona head into Sunday's match having won a remarkable 23 Liga games in succession on home soil, firing in 80 goals in the process.
Addressing the media on Friday, Escriba acknowledged his side face the stiffest of challenges, but called for a positive approach.
"We have to be brave and try to find the goal because it is difficult to think that they (Barcelona) will not score," he said.