I don't think it will work. Both the architecture are different. 64 bit OS can take 32 bit applications native in compatibility mode but not drivers.
Drivers need to be 64 bit and signed, else would be rejected by the OS.
For a laptop, i would prefer 32 bit if u don't have drivers and need to download. Lappy drivers unless given by manufacturer are pain to find and forget 64 bit drivers for a laptop. :no: