The Spanish international has missed Atlético's last two games, including their 1-0 win over Barcelona that saw them progress to the Champions League semi-finals.
Los Rojiblancos are just six league games away from their first league title since the 1995/1996 season, but coach Diego Simeone has insisted they can't afford to start believing in the hype surrounding their incredible season after dumping Barca out of Europe.
"The league is very advanced and we are in a very nice position, but to have the same options as today we have to play very well ," he said on Saturday.
"After every game there is less to go and we know what we are playing for, but that depends on how we respond as a team. We had four days to recover and we will see if we rotate or not."
"More than ever we have to live game by game. It is important to isolate everything from out with the club and to feel and experience everything what is going on."
"There are four Spanish teams in European semi-finals and we are first in that league. That makes us proud but also motivates and strengthens us. we will have to roll up our sleeves and run once more."
Turkish midfielder Arda Turan is the only major absentee from Simeone's squad due to injury, but the Argentine is expected to make a few changes to the side that started in midweek with Toby Alderweireld and Mario Suarez likely to join Costa back in the starting line-up.