4. Turn Off Activity Broadcasts
If you're beginning a new job search and don't want your current employer to see the changes you're making to your profile, you need to turn off activity broadcasts. This will prevent your connections from knowing when you change your profile, make recommendations or follow companies.
To turn off activity broadcasts, navigate to your Settings page and click the Profile tab. Under Privacy Controls click "Turn on/off your activity broadcasts," uncheck the box and click Save.