Ansible - fetch files from one remote node to another

I'd like to use Ansible to upload files from local workstations to a NAS server. Both are managed via Ansible. The only way I've gotten this to work so far is by mounting the NAS file share as a local directory via NFS, and delegating the copy tasks to the Ansible controller:

- name: Fetch files to NAS
    fetch:
      src: "{{ item.path }}"
      dest: "/NAS/Share/{{inventory_hostname}}/" #

However, this solution is slow and error prone. In addition, I would like to start using Ansible tower, with which I don't think this solution will work at all. Is this a feasible task to automate via Ansible? The only solution I can think of is mounting the NAS to the workstations and copying it locally - something I'd prefer to avoid. Any pointers would be greatly appreciated. Thanks! EDIT: Thanks to the great commenters below! I managed to use the synchronize module from Linux workstations as suggested. Unfortunately, some of the workstations run Windows, where the module isn't available. The only currently working solution I could muster is using pscp, which I prefer to avoid to keep things Ansible-only. Is there another method I can use to fetch files from Windows workstations to the NAS? Thanks!