Low-energy electron impact total excitation cross sections of the lowest-lying autoionising level generated due to the inner-shell electron excitation 1s22s22p63s2Se to 1s22s22p53s22P0 and 1s22s22p63s23p64s2Se to 1s22s22p63s23p54s22P0 complex transitions in lighter alkali metal atoms i.e. sodium (Na) and potassium (K) atomic systems respectively have been calculated using single configuration Hartree-Fock (HF) wavefunctions for both initial and final states within the R-matrix method in the low bombarding energy region. The present calculated theoretical results differ significantly in nature from all earlier predictions and also disagree with the estimated values of the contribution of the lowest-lying autionising level to direct ionisation on the basis of the classical scaling law reported by McDowell (1969).