Rodriguez (elbow) will begin a swinging progression from the left side next week, Alex Stumpf of MLB.com reports.
The Pirates placed Rodriguez (elbow) on the 60-day injured list Wednesday.
Rodriguez is out of the lineup Thursday against the Phillies.
Rodriguez is out of the lineup for Sunday's game at Cincinnati, Jason Mackey of the Pittsburgh Post-Gazette reports.
Rodriguez went 1-for-5 with a solo home run Friday against the Reds.
Rodriguez is out of the lineup Wednesday versus the Cubs.
Rodriguez is not in the lineup for Sunday's game against the Yankees, Kevin Gorman of TribLive.com reports.
Rodriguez is absent from the lineup for Thursday's game against the Nationals.
Rodriguez is out of the lineup for Sunday's game in Atlanta, Jason Mackey of the Pittsburgh Post-Gazettereports.
Rodriguez is absent from the lineup for Wednesday's game versus the Brewers, Jason Mackey of the Pittsburgh Post-Gazette reports.