"At this point we aren't concerned this injury will jeopardize his season," McDermott said.
McDermott did not provide a timetable for the return of Jones, who is expected to start opposite Kelvin Benjamin this season.
The 23-year-old Jones recorded 27 receptions for 316 yards and two touchdowns during his rookie season in 2017 with the Bills, who selected him with a second-round pick out of East Carolina.
Jones made bigger headlines in a bizarre incident in March when he was arrested on suspicion of felony vandalism.
Video of the incident showed him naked in a hallway in an apartment building, arguing with his brother, Cayleb Jones, who is a wide receiver with the Minnesota Vikings. Prosecutors declined to pursue criminal charges, citing insufficient evidence.