This hasn't been officially announced yet, but I contacted ScotlandsPeople to ask when they would be releasing their kirk session records online and got this response:
Dear Tunji
Thank you for your email regarding kirk session records.
The part of the website that will make the kirk session (and other court) records available is under active development at the moment.
The coronavirus lockdown has hampered us a little, as no National Records of Scotland buildings are open, but we're managing to continue development work remotely. I hope it will be only a mater of a few months before the first few thousand volumes of kirk session and presbytery records appear. The first release will be minute books and accounts of Church of Scotland kirk sessions and presbyteries from 1560 to about 1860.
Yours sincerely
Robin Urquhart
Archivist
National Records of Scotland