"[Toews is] going to be day to day, and it's not serious," Quenneville said on "Blackhawks Live" on WGN-720 AM on Tuesday night. "So, we're looking forward to him getting back."
Toews suffered the injury when he was hit by the Pittsburgh Penguins' Brooks Orpik into the boards during the second period Sunday. Toews was holding his left arm as he left the ice. He did not return to the game.
Quenneville said after the game Sunday that he didn't believe the injury was serious. Toews was expected to be re-evaluated Monday, but the Blackhawks didn't release any information on Toews' status prior to Quenneville's radio appearance Tuesday.
The Blackhawks next play the Minnesota Wild on Thursday. They have six regular-season games remaining.
Toews has appeared in all 76 of the Blackhawks' games this season. He's third on the team with 28 goals and tied for third with 40 assists. He's sixth in the NHL with a 57.2 faceoff winning percentage (884-of-1,544) and tied for 25th with 51 takeaways.
Toews last missed a game due to an injury in the 2011-12 season. He sat out the team's final 22 regular-season games due to a concussion in 2012. He also missed six games due to a concussion in the 2009-10 season and 16 games due to a knee injury in the 2007-08 season.
Toews has been out of the Blackhawks' lineup in 51 regular-season games in seven NHL seasons. The Blackhawks are 22-21-8 in those games.
The Blackhawks will be without forward Patrick Kane for seven more regular-season games. He has missed their past six games with a lower-body injury and was placed on the long-term injured reserve March 21. He has 29 goals and 40 assists in 69 games this season.
Quenneville said Tuesday that he expected Kane to begin skating again in the next few days. Blackhawks general manager Stan Bowman previously said he expects Kane to return for the start of the playoffs.
The Blackhawks have been without Kane and Toews at the same time in just one game over the past seven seasons. They both were healthy scratches in the final regular-season game of the 2012-13 season because the Blackhawks had already clinched the Presidents' Trophy.
The Blackhawks, the defending Stanley Cup champions, have a 42-19-15 record this season. They're in third place in the Central Division with 99 points, but they currently are on a three-game losing streak and are 4-5-1 in the past 10 games.