Manager Joe Girardi said that Tanaka is scheduled to travel to Baltimore with the team next week, where he will continue his throwing program.
Girardi said that Tanaka's next step would be to increase his throwing distance to 120 feet. Bullpen sessions and Minor League rehab games would follow if Tanaka has no further issues.
"Hopefully, there's a point where we have to send him on rehab starts, but right now he's going to stay with us," Girardi said.
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.