@pineteam
i'm not even a pilot but as far as i understand you should look up your Vx (best climb angle speed) if you are concerned about reaching a level. don't know if it's as low as VLS but i doubt it somehow.
going below Vx would be very uneconomical and reduce your V/S. autopilot would then pitch up further to keep the V/S and you only reduce it reaching VLS meaning you are wasting fuel and not even achieving your max angle of climb.
but i guess you normally set your V/S trying to keep it near your managed speed and not even going close to Vx or VLS.