The term unit of measure is commonly used
as well as universally understood and accepted
in medicine, other sciences, and engineering — leaving
no need to use the longer term, unit of measurement.
In this usage, measure and measurement are essentially identical:
measure 2.1 A system or scale of standard measuring units
measurement 1.2 A unit or system of measuring
If this reduces to a survey of opinion, mine is that the broader meaning
of measurement unnecessarily evokes the act that produced the result;
the act itself should receive sufficient attention in the surrounding text.
If the amounts in question are input parameters rather than reports of
actual measurements, the term unit of measure is more
appropriate than unit of measurement.
More about measurement can be seen at
English Language & Usage: Difference between “measurement” and “measuring.”
Even though the writers of Wikipedia's article chose Units of measurement
as its title,
Wikipedia also says:
Unit of measure commonly refers to
Units of measurement
for relevance to weights and measures.