Parkinson recently lost both central defenders Luke Oliver (Achilles) and Andrew Davies (knee) to season-ending injuries and has drafted in John Egan on loan from Sunderland to help fill the gap.
Winger Kyel Reid is already sidelined with a long-term groin injury and the Bantams boss was dealt more bad luck this week with news that defender James Meredith (hip) and striker Zavon Hines (ankle) could both require scans to determine the full extent of their injuries, while Stephen Darby is struggling with a groin strain.
Assistant manager Steve Parkin told the club's official website: "We have three cup games in December, plus six league matches. Nine matches in a month with injuries to Luke Oliver, Andrew Davies and Kyel Reid.
"With the other injuries we have around the squad at the moment, I think it is important to assess them in the next couple of days and if we have to strengthen, then we must do so."