You are able to download it directly from the ASA. In a browser just go to
https://<ASA-Address>/admin it will bring up a page that will allow you to download the ASDM launcher.
You will have to make sure the http server enable command is present in the config and the address is reachable from your computer.
Florin are you saying to download the standard asdm .bin file from Cisco support site, load it to the ASA, enable http and after its loaded & http is configured properly, http to the ASA & I should see a download option?
Right now where I'm stuck is I don't see an ASDM-IDM file on the support site. I only see standard asdm.bin files