"I think it's a little early for us to start throwing dates out there," Mozeliak added. "The good news is he's feeling better every day."
Kelly provided a similar assessment, noting that the swelling and bruising on his left leg has subsided and that he no longer feels discomfort when walking. He continues to throw on flat ground -- on Friday, it was from a distance of 150 feet -- and has resumed some lower-body exercises.
The Cardinals would not speculate when Kelly could be ready to get back onto a mound.
"It's getting better every day. It's progressing well," Kelly said. "I'm just going to keep going to the trainers and doing all my rehab stuff. I look forward to getting back."
Tyler Lyons will start in place of Kelly again on Saturday and would then line up to pitch Kelly's next turn through the rotation on May 2.
Jenifer Langosch is a reporter for MLB.com. Read her blog, By Gosh, It's Langosch, and follow her on Twitter @LangoschMLB. This story was not subject to the approval of Major League Baseball or its clubs.