The　theory　of　vector-valued　frames　(also　called　superframes)　has　important　applications　in　signal　multiplexing,　and　has　interested　many　mathematicians　in　recent　years.　In　this　paper,　we　introduce　the　notion　of　weak　Gabor　duals　of　type　II　under　the　setting　of　subspaces　L-2(S,　C-L),　where　S　is　a　periodic　subset　of　R.　Using　the　Zak　transform　matrix　method,　we　characterize　weak　Gabor　duals　of　type　II　and　their　uniqueness.　An　example　is　also　presented　to　illustrate　the　generality　of　our　results.