Both midfielders have been linked with a transfer away from the Old Lady, but the club remain confident that they will stay put
Pogba, 20, has been heavily linked with a transfer to Paris Saint-Germain in recent weeks, while 34-year-old Pirlo's future at Juventus is increasingly in doubt as he approaches the end of his current deal.
Moratta, however, is hopeful that both midfielders will commit to the Bianconeri in the near future.
"There will not be a present under the Christmas tree in the form of a contract renewal, but we are calm over the situation," Marotta told Rai Sport when questioned about the future of Pogba and Pirlo.
"We have a great relationship with both players and they see Juventus as their home. This is their natural habitat and it will be hard for them to find a batter place. I am optimistic that the situation will soon be solved."
Juventus are currently preparing for Wednesday's Coppa Italia clash against Avellino.