He's also tentatively scheduled to throw a third bullpen session on Sunday, but he could skip it if all goes well Thursday and he's ready to start a rehab assignment.
"As long as he continues to progress he's getting closer to going on a rehab assignment," Twins assistant general manager Rob Antony said. "He's here with the club. He threw under the watchful eye of [pitching coach] Rick Anderson and everything went well."
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.