Nobody but Apple knows.
In addition, Apple rarely issue a .0.x beta, so this is a new area for us as well.
Three things can happen:
1. New iOS beta every two week, which is their usual schedule for the past few years. This means we won't see a new beta this week.
2. New iOS beta every week, we should see it tomorrow as Tuesday tend to be the iOS day but it changes all the time
3. No new betas for 8.1.1, they'll just ship 8.1.1 right away because it's a minor .0.x. update.