To take his place on the roster, the team selected the contract of infielder Ben Paulsen from Triple-A Colorado Springs. They also designated right-hander Jair Jurrjens for assignment.
The 26-year-old Paulsen will make his major-league debut at first base on Monday against the Washington Nationals.
Morneau is hitting .312 with 13 homers and 60 RBIs. He also took part in the Home Run Derby at the All-Star game.
Shortstop Troy Tulowitzki was out of the starting lineup Monday for a second straight game with a tender left thigh. Tulowitzki said he still felt a ''little sore,'' but didn't think he'd have to go on the DL.