I have created a formula that gives employees a personalized link to fill out a form so that when they fill out the form, they only need to answer the questions and don't have to put their name, employee id, etc. 

Is there a way to get around not having them sign in to use the personalized links?

I have already turned off the "See who submitted this form" box and the under Share Link settings the "Restrict access to enterprise email domains" option.