Have one login email to LinkedIn.
They currently have the LinkedIn with their current employer.
The task is to provided details instructions of:
1- Add separately in that same LinkedIn account an account or similar, a employee account for another company.
2- Contact between both accounts or pages or similar to have different contacts.
3- Each account to have their own details of employment history, posts, etc, without sharing contacts between the so, so the companies do not see that the person has to employments.
The work is completed once the above is completed.