Quenneville also said forward Patrick Kane could begin practicing with the team on Wednesday. Kane, who has been skating by himself since Friday, has missed the past nine games with a lower-body injury. He is expected to return for the playoffs.
Further, Quenneville said Blackhawks captain Jonathan Toews is expected to begin skating alone this week. He's been out since suffering an upper-body injury on March 30. He is also expected back for the playoffs.
Oduya, who last played in a game on March 30, practiced with the team at the United Center on Wednesday. He has three goals, 12 assists and a plus-9 rating in 74 games this season.
Blackhawks defenseman Sheldon Brookbank replaced Oduya the past three games. In the three games, Brookbank had zero points and a zero rating and averaged 21:05 of ice time.
Oduya was not made available to the media after practice on Wednesday.