Convey's League Cup performance had made a start on Saturday against Portsmouth look likely.
"Bobby has tweaked something right at the top of his leg," Reading coach Steve Coppell told the Associated Press. "He is massively disappointed. That will take him out of contention, I would think, for the weekend."
Convey had knee surgeries in December and March. He joined Reading from D.C. United in 2004 and has eight goals in 86 appearances in all competitions for the Reading, which won promotion to the EPL during his season season, 2005-06.