Mee missed the Bees’ 3-0 victory at Fulham last weekend due to a niggling calf injury. He underwent checks last Saturday but was not risked in the game.
Thomas Frank is hopeful he can make a return at the Gtech Community Stadium against London rivals Palace.
Meanwhile, midfielder Josh Dasilva will miss the match due to a hamstring strain, and he is not expected to be ready for first-team action until mid-September.
Brentford, who have four points from their first two Premier League games, are set to start Bryan Mbeumo in a three-pronged attack which remains unable to call upon striker Ivan Toney.
The forward signed for the Stellar agency run by Jonathan Barnett this week but cannot play for Brentford until January 17 due to his eight-month ban for 232 breaches of FA betting rule E8.
Predicted Brentford XI: Flekken; Hickey, Collins, Pinnock, Henry; Janelt, Norgaard, Jensen; Mbeumo, Wissa, Schade
Injuries: Dasilva
Suspensions: Toney
Doubts: Mee
Time and date: 3pm BST on Saturday, August 26, 2023
Venue: Gtech Community Stadium