How to find the previous position of an object?

Question

Unity

I need to play animation if the object is in motion. But for this you need to compare the old and new positions, how can I determine the old position in the code, what should I write?

if (player.transform.position == "предыдущая позиция")
            {
                anim.SetBool("Walk", true);
            }
            else
            {
                anim.SetBool("Walk", false);
            }