"He played two days before [Sunday] in the Minor Leagues, too, so [Wednesday night] would have been his fifth day in a row," Redmond said.
Redmond will take a similar approach with Giancarlo Stanton, who batted third and played right field on Wednesday night.
The Marlins will evaluate how Stanton feels after Thursday's off-day before deciding how to approach the right fielder's playing time against St. Louis.
"We talked before these guys came back about taking care of them," Redmond said, adding that the team wanted "to have these guys for the rest of the year."
Greg Dobbs filled in for Morrison at first base and batted sixth Wednesday, bumping second baseman Derek Dietrich up to fifth in the order.
Morrison has shined since returning to the Majors, batting .444 (4-for-9) with two walks, one RBI and two runs while hitting fifth in the Marlins' lineup.
Stanton was batting .250 (2-for-8) including Tuesday night's winning homer in two games since his return.
"We're going to have to take care of those guys, both of those guys, for a while until they get their feet under them and get comfortable," Redmond said.
Injured right-handers Nathan Eovaldi and Henderson Alvarez will both make rehab starts Thursday night.
Eovaldi is pitching for Double-A Jacksonville after throwing only one inning in his previous outing before the game was rained out.
Alvarez will pitch for Class-A Jupiter.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter