Despite the pressure, the Spaniard is relishing his first season in England.
"I am really enjoying it," he said. "We can't wait for each game and I want the Aston Villa match to come round as quickly as possible.
"There is a little way to go yet and we still have plenty of work to do. But the dressing room is very positive. We intend to keep fighting and maintain that advantage."
De Gea moved to Old Trafford from Atletico Madrid for around £18m.