The Evans Cycles branch on King’s Inch Road in Renfrew is among the closures.
The other branches are in Brentford, Durham, Fulham, Holborn, and Kendal.
Steve Trowbridge, CEO of Evans Cycles, said: “We hope landlords will be reasonable and support our turnaround plan, now that we have stability due to backing from Sports Direct. However, we must remain competitive, and sadly we are now in consultation with staff at these stores.”