Dyer damaged ligaments after coming on as a second-half substitute during the 1-0 defeat at Valley Parade on Saturday.
The 21-year-old midfielder has yet to be examined by Albion's medical team but manager Gary Rowett is not expecting positive news.
"I don't think JD will play any further part in the season, he's done his ankle ligaments," Rowett told reporters following the loss in West Yorkshire.
- Sports & Recreation
- Gary Rowett