Short-period 10 monolayers InAs/10ML GaSb type-II superlattices have been deposited on a highly lattice-mismatched GaAs (001), 2° offcut towards <110> substrates by molecular beam epitaxy. This superlattice was designed for detection in the mid-wave infrared spectral region (cut-off wavelength, λcut-off = 5.4 µm at 300 K). The growth was performed at relatively low temperatures. The InAs/GaSb superlattices were grown on a GaSb buffer layer by an interfacial misfit array in order to relieve the strain due to the ~7.6% lattice-mismatch between the GaAs substrate and type-II superlattices. The X-ray characterisation reveals a good crystalline quality exhibiting full width at half maximum ~100 arcsec of the zero-order peak. Besides, the grown samples have been found to exhibit a change in the conductivity.