Hi Everyone this is Prem, I have worked as Microsoft 365 support ambassador. We see a lot of ticket for “Another account from your organization is already signed in on this computer” issue. I have shared fixes for this issue on this post.
If you are facing the issue on Mac device please refer this Article.
This issue occurs when we try to activate Office 365 application or when we try to sign in into them. This issue can appear on Office 365 application such as Word, Excel, PowerPoint, Access, etc. and occurs on a Windows computer.
So in order to fix the issue Another account from your organization is already signed in on this computer lets try series of steps :
First open any Office 365 application, eg. Microsoft Word check if you have multiple account in there signed in already. if you see any account which you do not need there, you can sign them out form there. Once signed out try to sign back in and check if you get the same error:
If you still get the same error when signing back in, try to sign back in again and make sure that the option “Allow my organization to manage my device” is unchecked or click on “No, sign in to this app only“:
This prompt appears after you have entered your email address and password. If you don’t see the above prompt, go to the settings on the computer
Open Settings on the computer > then click on Accounts:
Click on Access work or school: