The Reds put Dickerson on the 15-day disabled list with what they described as a bruised right shoulder. Dickerson landed hard when he tried to make a diving catch during a 5-2 loss in Chicago on Sunday, the Reds' sixth in a row.
Dickerson, who is left-handed, said tests found a small tear in the right shoulder.
"It's my non-throwing arm, so I won't have to have surgery," said Dickerson, who had surgery on his left ankle last year. "I've been down that road already."
Dickerson is batting .259 with two homers. He has started 51 games in the outfield.
Owings started Sunday's game and left after three innings with a stiff shoulder. The right-hander is 6-11 and is one of the Reds' top pinch hitters, batting .229 with three homers.
Owings had a sore right shoulder at the end of last season, when the Reds got him from Arizona to complete the trade for Adam Dunn. Manager Dusty Baker said the problems Sunday weren't related.
"He was a little surprised that we put him on the DL," Baker said. "But we needed another arm here. He's got some tightness in there. It's not what it was when we got him last year."
The Reds recalled infielder Drew Sutton and right-hander Robert Manuel from Triple-A Louisville to fill their spots. Sutton batted .125 in his two previous stints with Cincinnati this season. Manuel had no record in three appearances.