Well, that definition, like most dictionary definitions of complex philosophical or scientific concepts, is circular or too vague. The quality of being sentient is obviously circular, Consciousness is even more vague a concept than sentience, and Susceptibility to sensation is either circular (if we seek to define sensation narrowly) or too vague (if we define sensation broadly - after all, rocks are susceptible to sensation in some sense, as they immediately move when you kick them). This is not a critique of the OED: dictionaries are meant to explain to humans what other humans mean when they use a word, not give an exhaustive understanding of its deeper meanings and implications (encyclopedias aim for that).
When actually trying to rigorously define the word "sentience" we currently have settled on a very basic but measurable criterion: does the living thing we are discussing react to stimuli in its environment, and does it do so in a manner which suggests some kind of memory or other information processing power?
Conversely, consciousness has no similar even slightly rigorous definition, but it is still used as a "higher level" of sentience, sentience + some other stuff that bring you closer to how humans experience the world. Sapience seems to fit somewhere in between.