Sekera suffered an undisclosed injury in the first period of Game 3 of the Western Conference second-round series from a hit by Ducks Ryan Getzlaf.
The Oilers still built a 3-0 series lead before squandering it in the final minutes and losing in double overtime to go down 3-2 in the series. Game 6 is Sunday night.
Sekera, 31, has been a steadying influence on the blue line for a young Oilers team. He had seven goals and 24 assists during the season and has one goal and two assists in 11 playoff games this season.