In addition, left-handed reliever Boone Logan (2-1, 6.11 ERA in 25 appearances) struck out one in a clean inning for Colorado Springs.
It was Logan's first rehab outing since being placed on the disabled list with diverticulitis, a digestive ailment. Like Morneau, Logan is eligible to return and wants to do so on Tuesday.
Thomas Harding is a reporter for MLB.com. Read his blog, Hardball in the Rockies, and follow him on Twitter @harding_at_mlb. This story was not subject to the approval of Major League Baseball or its clubs.