How Could I Make It So An Enemy Can Accurately Follow The Player Using Pathfinding?

I'm trying to make an enemy that follows the player, the problem I'm having is that when the enemy is chasing the player, the pathfinding script will create a path, and will have to finish walking that path before making a new one, which the result can be found here.

This is my current script:

local service = game:GetService("PathfindingService")
local humanoid = script.Parent.Humanoid
local torso = script.Parent.HumanoidRootPart

while true do
	wait()
local finishPosition = game.Workspace.MovingPart -- Player to follow
if finishPosition then
local path = service:ComputeRawPathAsync(torso.Position, finishPosition.Position, 512)
local points = path:GetPointCoordinates()
for p = 1, #points do
        humanoid:MoveTo(points[p])
        humanoid.MoveToFinished:Wait()
end
end
end

How could I make it so the enemy follows the player even if the player moves? Thanks!