Answered by Michele, Hiring Expert at ADP, on Thursday, June 19, 2014
Congratulations on considering internships as a means of increasing your marketability. Good choice!
While LinkedIn is a very important site for networking and connecting with employers and recruiters, it is not intended to be private. Even if you 'disconnected' from your current employer, and I am not sure that is an easy task, your activity is still very public via 2nd and 3rd connections, etc.
If you chose to market yourself via LinkedIn or any other related site, you should only share content that is public.
A suggestion might be to connect to recruiters, employers, groups, blogs, etc that are in fields and areas of interest. This is always a strong approach as these interactions may serve you now or in the future.
If you connect with a recruiter from a company that interests you, perhaps you can take your more specific conversation off line and in a private message or in mail.
Best of luck to you!