Be patient and allow the quest a few seconds to catch up before you talk to them. Once the conversations are over, they will normally say goodbye to each other and either resume their normal routines, force greet you or otherwise get ready for you to talk to them. I highly recommend that when 2 or more of my actors are involved in a conversation that you are watching that you don NOT run off in the middle of the conversation. I use use a stop on every stage a scene sets when it updates, so in theory this should never happen but it seems they still hang up sometimes.
Others say beating the person down into bleedout works, while others have just gone and done something else for an hour or two and they were fine when they returned. Some have said that exiting the cell they are in and even leaving the game and reloading works.
You can also try waiting for 1 hour at a time for a few hours, saving and reloading. You may have to try this a couple of times to get it 'unstuck'. It says they're busy or I can't advance the dialog even though my journal clearly tells me to speak to them.Ī - They're most likely stuck in a scene. It's a mod so asking at the mod page is recommended.