The Bundesliga club said the 30-year-old playmaker Reus missed Tuesday's flight because he is "still in poor health" after scoring the winner in Saturday's 1-0 victory over Bundesliga leader Moenchengladbach despite suffering with flu, AFP reported.
Alcacer, who like Reus has scored five league goals so far this season, is also out due to the persistent calf injury which has sidelined him since September 28.
However, Sancho, 19, was included after being dropped for Saturday's game after returning late from England duty.
Burki is also back after limping out of the second-half of the Gladbach win with a knee injury.
The German side tops Group F ahead of Barcelona on goal difference after holding the Spanish giant to a goalless draw in Dortmund in their opening game and then winning 2-0 at bottom side Slavia Prague.
Inter, third in the table, drew at home to Slavia and lost 2-1 to Barca a fortnight ago at the Camp Nou in its two previous games.