Formerly a test driver for Super Aguri and Honda, Rossiter, will take over German Adrian Sutil's car for the 90-minute session at his home race.
"This is an amazing opportunity and I'm really looking forward to taking part in an official practice session during a Grand Prix weekend," said Rossiter, who last drove for Force India in pre-season testing.
"The fact that Silverstone is my home race makes the news even sweeter," he added.
The time in the car will allow Rossiter to give greater feedback during race weekends when he normally supports the team from the factory by carrying out simulator running. The scheduled run for Rossiter is dependent on dry track conditions to ensure the team can gain meaningful feedback.
"The main reason for driving the car is to help progress the team's simulator programme, which I've been working on for almost 12 months," Rossiter said.