Soler was pulled from the Iowa Cubs' game in Tacoma, Washington, on Monday night after hitting a three-run home run, his eighth of the season for Iowa.
The Cuban outfielder will join the Cubs in Cincinnati on Wednesday.
Soler is hitting .338 this season with 15 home runs and 54 RBIs across Triple-A, Double-A and the rookie league. He has played mostly at Double-A Tennessee and Triple-A Iowa, with a short stay rehabbing with a Cubs rookie league affiliate in Mesa, Arizona.
Cubs utility man Logan Watkins said this week that Soler is a "freakish athlete."
"He can do it all," Watkins said. "Obviously there are things he has to work on, but that's a freakish athlete."
Multiple Chicago-area media outlets reported the news earlier Monday night.
Soler, 22, would be just the latest call-up for the Cubs. Earlier this week, the team recalled 24-year-old outfielder Matt Szczur. Szczur was a fifth-round pick of the Cubs in 2010.
Information from ESPNChicago.com's Jesse Rogers contributed to this report.