Your professor is referring to the fact that in a stereospecific reaction the sterochemistry of the product is dependent on the stereochemistry of the starting material. So for the reaction to be stereospecific: if you start with S,S-diiodocyclobutane you get R,R-dibromobutane, but if you start with R,R-diiodobutane you get S,S-dibromobutane as the product. This is true for an S
N2.
Your professor's argument seems to be that because you only have data for the transformation with S,S-diiodobutane, you can't say it is stereospecific because you don't have the data for the corresponding reaction of R,R-diiodobutane.
Personally I think he's missed the point. The reactions are stereospecific (and note that all stereospecific reactions are also stereoselective - stereospecificity is a special type of stereoselectivity).
IUPAC Link:
http://www.chem.qmul.ac.uk/iupac/gtpoc/StSy.html#08Here is a excerpt taken from Sterechmistry of Organic Compounds - E.L. Eliel, S.H. Wilen (Wiley)