This closely related question asks about what options a pilot has when facing a permanent loss of medical.
However, not all disqualifying conditions are permanent. Maybe you got an interesting disease known for its 7-month contagious period. Maybe you broke an important, slow healing bone. At any rate, whatever silly thing you did to yourself, you will be flying again, but it will take several months.
As a pilot, what options do you have during this period of your career? Are you likely to be furloughed? Assigned alternate duties? I'm interested in answers relating primarily to the United States or Europe.