Constraining an Interactive Cloth movement

Hi,

Is there a way of constraining the movement of an Interactive Cloth, just like it is possible with a Rigidbody? I've got a deformable sphere falling on the floor, and I'd like to make it move only on a 2D plane, since the game would be 2D-only.

I've tried putting a collider at the front and at the back, but the result is not that satisfactory. I have also tried adding a rigidbody component to the Interactive Cloth (Does that sound reasonable?), and constrain the rigidbody, but it does not work.

Any idea?