Manchester United hoped the Spanish international would sign a new deal before the season began, but are still waiting for De Gea to put pen to paper.
The Frenchman has publicly stated his wish for a "new challenge," amidst interest from Real Madrid.
De Gea was rested from United's pre-season opener against Perth Glory on Saturday but will line up against Leeds on Wednesday to wrap up the Red Devils' 10-day visit to the Western Australia city.
The 26-year-old World Cup-winner's future has overshadowed United's pre-season tour since they arrived in Perth on Monday.
First choice keeper de Gea was badly at fault for Portugal's second goal of the game when he let a long-range shot from Portugal captain Cristiano Ronaldo squirm from his grasp.
David De Gea had a forgettable World Cup debut as goalkeeper for Spain but quickly turned his focus to the bigger picture for the national team.
Ask any manager and he will tell you what a good man between the sticks brings to the team...
Ferdinand admitted that he, along with some senior players, doubted De Gea's potential when he first arrived at Old Trafford.
Besides Romero, United manager Jose Mourinho has first-choice stopper David De Gea and the highly-rated Joel Pereira.