Is "boundability" an acceptable word?

Is there a word in English for "the quality of being susceptible of being bounded"?

Is "boundability" an acceptable word for that purpose? (It does not seem to appear in either Webster, Oxford, or Cambridge dictionaries.)

Just to clarify, "boundedness" (the quality of being bounded) does not work in my (mathematical) context because I need to distinguish between "the quality of being bounded" and "the quality of being susceptible of being bounded", which is precisely the key point in the argument.