Curve modifier problem with follow path

Hi everyone,

I would like that a parallelepipoid follows a path and deforms along this path.

Adding “follow path” works great:
follow%20path

But when I add “curve modifier” to bend my parallelepipoid, this one tilts and doesn’t follow my path properly anymore:
follow%20path%20and%20curve%20modifier

For information, the location for both parallelepipoid and path is 0m, rotation 0° and scale 1.

Could you please help me to solve this problem? (below the blender file / I’m working on Blender 2.8)
test follow path and curve modifier.blend (629.9 KB)

Thank you in advance.