Hi and thanks for the question.
The only way to get this to work is with sticky sessions. The information is in fact in the user’s $HOME directory so they would need to connect to the same login node to access running interactive sessions.
We don’t have any official docs on this, but there have been previous posts on Discourse about this that may help, this link might have what you are looking for to get going:
If not please post any questions you have as we are happy to help and interested in knowing how others have done this for their site for the community.