You are not really transfering in that sense... you are downgrading your degree. And no one says no to downgrades.
Ok that was a joke, but the part about downgrade is (IMHO) the truth. Take me for eg, I'm doing Sci/Comm (which WAS under the administration of science faculty). And now, after completing my science half the degree, I may CHOOSE to graduate with a BSc, and be a labslave for the rest of my life, or I may choose to continue to complete my Comm half.
Times might have changed though, and I don't really know if it works in the reverse order (especially given that Sc/Comm is now under the administration of Comm faculty. So ask student centre as well.