Final answer:
Facilitated diffusion is the mode of transport most likely to experience saturation as the rate of solute movement across the membrane is directly proportional to the number of transport proteins.
Step-by-step explanation:
The mode of transport most likely to experience the phenomenon of saturation is facilitated diffusion. Facilitated diffusion is the movement of molecules or ions across a membrane through specific transmembrane proteins.
The rate of solute movement across the membrane is directly proportional to the number of transport proteins, and just like enzyme catalysis, it can become saturated when all the transport proteins are bound to the solute molecules.