Dr Amollo faulted what he said was a misinterpretation of the law on succession in independent offices.
The provision that recruitment can only start once the office falls vacant has been criticised in the past.
This law, Dr Amollo states, however, has been misinterpreted.
The National Assembly Justice and Legal Affairs Committee is mulling over a proposal to hire a Chief Justice and independent office holders at least six months before the exit of current occupants.
Committee Vice-Chairman Otiende Amollo said this will help avoid cases of such top offices being without substantive holders for long.