"I damaged the AC joint," Dickerson said. "It's bruised but a small tear in the [rotation cuff]."
To take their places on the 25-man roster, the Reds recalled reliever Robert Manuel and utility player Drew Sutton from Triple-A Louisville.
The Reds will have to make another roster move on Friday to take Owings' turn in the rotation. No one has been named, but 31-year-old right-hander Justin Lehr is 13-3 with a 3.31 ERA at Louisville this season and was just named the International League's Pitcher of the Week.
Owings had to leave Sunday's start vs. the Cubs when his shoulder stiffened.
"It's nothing structural," Reds manager Dusty Baker said. "He was a little surprised we put him on the DL, but we need an arm in here and we don't know how he's going to be for his next start."
This injury, Baker said, was not related to the shoulder trouble Owings had with the Diamondbacks before his September trade to Cincinnati.
Dickerson was hurt in the eighth inning of Sunday's game when he made a diving catch attempt on a Koyie Hill fly ball.
"I don't have to have surgery. I've been down that road already," said Dickerson, who had a right shoulder operation in 2006.
Manuel worked 3 1/3 scoreless innings during his previous big league stint with the Reds earlier this month. Sutton, in his third callup with Cincinnati, is batting .125 with two RBIs in seven games.
The Reds are down to three full-time outfielders on their roster in Willy Taveras, Laynce Nix and Jonny Gomes. Jerry Hairston Jr. can play around the infield and outfield and Sutton saw his first action in right field for a couple of innings last week in Los Angeles. Nix has also been bothered by a sore back in recent days.
Baker was asked whether the two top outfield prospects at Louisville, Chris Heisey and Drew Stubbs, were considered for promotions.
"They need to play," Baker said, meaning they should remain in the Minors.
The Reds have had their regular starting eight for just 10 games this season and have lost several to the DL throughout this season. Currently on the DL are: right fielder Jay Bruce (broken right wrist), catcher Ramon Hernandez (left knee) , starting pitcher Edinson Volquez (elbow tendinits), relievers Jared Burton (right shoulder) Mike Lincoln (neck) , Wilkin Castillo (left shoulder) and Danny Richar (also left shoulder).
On the rehab front, Volquez threw 76 pitches in the bullpen, including breaking balls, and reported no issues. The right-hander is scheduled to throw in a light bullpen session on Wednesday, and an 80-pitch simulated game on Friday.