Sometimes we begin our job search but are not quite ready to share this information with our current employer. You can safely look for jobs without alerting your current employer by hiding your job seeking status from select companies.
To do this, go to your Account settings.
Scroll down to the Sourcing Visibility section and type in your current company's name.
Upon clicking "save," your job seeking status will not be seen as "actively looking for jobs" by recruiters from the companies you've indicated.