How to combine pathfinding with MoveTo it get a fluid NPC that follows a player?

I've been trying to make a zombie, and I'm fairly new to developing on Roblox. I tried using the code Roblox has for pathfinding, but The zombie would go where the player was previously and it was very easy to dodge the zombie. I've also made a script that only goes to the player's position with MoveTo.

wait(1)
fdistance = 100 --how close you want them to be before following
zombie = script['Parent']

while wait() do
    local closestp = nil;
    local closestdist = fdistance;

    for i,v in pairs (game['Players']:GetChildren()) do
		if v ~= nil  then      
			if (v.Character.HumanoidRootPart.Position-zombie.Torso.Position).magnitude <= closestdist then
	            closestp = v
	            closestdist = (v.Character.HumanoidRootPart.Position-zombie.Torso.Position).magnitude
		     end
		else
			wait(1)    
	end
		if closestp ~= nil then
			    zombie.Humanoid:MoveTo(closestp.Character.HumanoidRootPart.Position, closestp.Character.HumanoidRootPart)
		end
	end
end

This is what I'm currently using. It works well for open areas. but if the player walks behind something the zombie has no way of knowing how to get around it. How can I switch between pathfinding and MoveTo in a way the will make the zombie fluently chase a player?