Network Animator not working

I am using the ThirdPersonController prefab from Unity Standard Assets as a player. I spawn the player with a Network Manager (UNet).

I noticed that no animations showed up accross the network, so I added a Network Animator to the prefab and dragged the animator in the Animator field, but nothing changes : animations still don't travel accross the network (Everyone can see his local player animations but not the distant ones). If that can help the player prefab also has a Network Identity and a Network Transform.

How to make the Network Animator send animations accross the network properly?