Kubel had a "very good day" of running on Friday and was scheduled to run the bases on Saturday.
"He's very close," McWane said. "Very encouraging news about him, and Denard as well."
Span played catch on Friday, hit off a tee and, more importantly, had no concussion symptoms.
It was the first time since the concussion that Span had no concussion symptoms after participating in baseball activities.
McWane also updated the status of reliever Kevin Slowey, who continues to rehab in Florida. Slowey will pitch on Saturday night for Class A Advanced Fort Myers.
"Tomorrow night, actually, he's going to pitch for the Miracle," McWane said. "Two to three innings for the Miracle tomorrow night in Bradenton."