White dwarf stars are said to nova when they collect a quantity of hydrogen on the surface. Sirius B is reported to have a spectrum of pure hydrogen. Also it is one of the highest mass known white dwarf stars.
Sirius B may become a recurrent nova due to some accretion, but will not gain enough mass to explode as supernova, it will hardly gain even 0.05-0.1 solar masses. Sirius b is 1.02 solar masses and is a carbon-oxygen white dwarf.
Nova occur mainly in cataclysmic variable stars. This a binary system of a white dwarf with a main-sequence or red giant companion. If the white dwarf has accreted enough mass (in Hydrogen) from its partner it stars hydrogen burning. Given the material on the surface of the white dwarf is degenerated this burning
starts not as a normal fusion but a so called hydrogen flash. It is so energetic that part of the material is ejected - a nova. From that point Sirius B could. However the binary Sirius A is to distant and no accretion taking place currently, as long as there is no mass transfer nothing will happen to Sirius B. - no show today :)