Should I issue a 1099 to a vendor who we paid through an employee reimbursement

Our employee rented an apartment through an individual for business trips instead of staying in a hotel. We reimbursed our employee for the rent through our accountantable expense reimbursement plan. Do I need to issue a 1099 to the person who received the rent payment from our employee? What is the best way to handle this transaction in QuickBooks online so the payment is captured in the 1099 process?