How can I individually animate hundreds of elements in a 2D background?

I've created a background in Photoshop made of hundreds of dots and I'm looking for a way to have them all kind of float individually in a loop in the background of my 2D Unity game. Is there a tool somewhere in Unity, Photoshop or After Effects (or somewhere else) that would allow this without hurting the performance? I'm a bit new to Unity so I'm 100% open to any suggestion whatsoever. Thanks!