Wallabies suffer Pocock blow
Pocock, rated one of world rugby's best players, was replaced in the 69th minute of the first Test under the blood rule before scans later confirmed the injury.
"Gutted to be ruled out of the rest of the Aus v Eng series with a fractured eye socket. Disappointing but these things happen," the No.8 tweeted Sunday.
"I'll be cheering on the Wallabies over the next two weeks."
The 28-year-old has missed just one Test through injury since 2014, following a knee reconstruction.
Wallaby coach Michael Cheika has so far not confirmed a replacement, with Western Force No.8 Ben McCalman, Waratahs' Wycliff Palu or possibly Sean McMahon of the Melbourne Rebels among the contenders.
"There's options there that have experience in the frontline," Cheika told reporters.
"We're fortunate there, but at the same time disappointed to lose a player of David's quality, the skills he brings to the game and that dynamic we have in the back-row with himself, Michael [Hooper] and Scott [Fardy].
"We'll have a look at the game again today as coaches, we'll see what we want to go with and how we might want to play the game next Saturday."
Australia must win the second Test in Melbourne next weekend to keep the three-Test series alive.
England's win over the second-ranked Wallabies was their first in Brisbane and only their fourth victory in 18 internationals between the two nations in Australia.