The BBC reports that staff members, some of whom were caught up in a Molotov cocktail attack earlier this week, want to pack up early in order to avoid travelling back to their hotels in darkness.
Deputy team boss Bob Fernley confirmed to Reuters that Nico Hulkenberg and Paul di Resta will therefore run limited second practice programs, and may skip the session altogether.
Other reports quote him as saying Force India will however take part in qualifying and the race.
Respected British commentator and former grand prix driver Martin Brundle, however, thinks the island Kingdom has "never looked better".
"Clearly, there is some trouble out there," he told Sky, "but I've not seen any of it.
"Some journalists have gone looking for it and unfortunately the trouble found Force India.
"My view is this: F1 can't run away from this," Brundle insisted.