Saggese is not in the lineup for Monday's game against the Pirates, Jeff Jones of the Belleville News-Democrat reports.
The Cardinals selected Saggese's contract from Triple-A Memphis on Tuesday.
The Cardinals will call up Saggese from Triple-A Memphis prior to Tuesday's game against the Reds, Robert Murray of FanSided.com reports.
Saggese is slashing .243/.325/.397 with five home runs and four steals in 36 games for Triple-A Memphis.
Saggese has been promoted by the Cardinals from Double-A Springfield to Triple-A Memphis, Jeff Jones of the Belleville News-Democrat reports.
The Cardinals acquired Saggese, right-hander Tekoah Roby and left-hander John King from the Rangers on Sunday in exchange for left-hander Jordan Montgomery and right-hander Chris Stratton, Jeff Passan of ESPN.com reports.