This after Mercedes team boss Toto Wolff caused a stir last week when he said that Fernando Alonso was on a shortlist to join the F1 team should Hamilton not agree upon a new deal.
But Lauda insists the talks with the 30-year-old Briton will result in a new contract.
"I'm not worried," he told SID news agency. "Both sides want to renew, so it will happen.
"We are in no hurry," Lauda added.
F1 legend Lauda was instrumental in luring Hamilton from McLaren at the end of the 2012 season