Why doesn't this script stop the damage when the enemy is dead?

Trying to figure out why this script won't stop the damage when enemy is dead. The enemy continues to deal damage through his limps on the ground after he is dead (I believe it is just the torso).

local canhit = true
local enemytorso = script.Parent:FindFirstChild('Torso')
if enemytorso and script.Parent.Enemy.Health > 0 then
    enemytorso.Touched:connect(function(hit)
        if hit.Parent:FindFirstChild('Humanoid') then
            if canhit then
                canhit = false
                hit.Parent.Humanoid.Health = hit.Parent.Humanoid.Health - damage
                wait(1)
                canhit = true
            end
        end
    end)
end