Could a piece of tubing be twisted into a Möbius strip?

My ability to visualize in 3D is not that good, but I think this would work. Imagine a transparent piece of tubing and then flatten it a bit. Give the tubing a half twist and then attach the two ends to make what should be a Möbius strip.

Suppose there is some object inside the tubing. It can slide along the tubing but is too large to rotate inside. It seems to me that if you slide the object in a complete circle that it will return upside down and showing the opposite side. If you slide it around again, it will return to its original position.

Do I have that right? I can’t think of any practical applications, but I think it would make a nice toy for a young child.