It may be possible to overcome this by updating your computer's ASPI layer. A utility called ForceASPI will install the Adaptec 4.60 ASPI layer for non Adaptec drives/controllers.
ForceASPI 1.7 (Adaptec 4.60 ASPI layer) is the most reliable version, and is the ONLY version that works for Windows95. It is available from the Radified tech help site and lists installation instructions.
A later version of ForceASPI 1.8 (Adaptec 4.71.2 ASPI layer) exists and should only be used if you experience problems after installing ForceASPI 1.7. You can download it from here.
If you are using a USB/Firewire drive then none of the above may work. In this case try Frog ASPI