The team leaves are usually announced on the dashboard, team calendar and email notifications.
To ensure privacy for leave types like sick, you have complete flexibility to hide the leave type from rest of the team members.
Here's how you can do that:
Head to the leave section on the dashboard, open "Leave types" tab and click on the edit button
Please toggle off "Hide type in announcements" and the leave type will not be displayed.
Additional, you can toggle off "Show leave on calendar" and the leave will not be displayed on calendar too.