A method of brake management in a heavy vehicle having a pneumatic first brake system and a pneumatic second brake system, wherein the first brake system is configured to start generating brake force when an air pressure ( P S) of the first brake system goes above a first pressure threshold ( P TS) and wherein the second brake system is configured to start generating brake force when an air pressure ( P P) of the second brake system goes below a second pressure threshold ( P TP), the method comprising: i) in response to determining that a request for emergency braking of the vehicle is imminent: i-a) increasing the air pressure of the first brake system, such that an additional air-pressure increase needed before the first brake system starts to generate brake force is smaller than before said increasing, and i-b) decreasing the air pressure of the second brake system, such that an additional air-pressure decrease needed before the second brake system starts to generate brake force is smaller than before said decreasing, and ii) in response to receiving said request for emergency braking of the vehicle, performing an emergency braking of the vehicle by compounding both the first and second brake systems, including: ii-a) further increasing the air pressure of the first brake system to above the first pressure threshold, and ii-b) further decreasing the air pressure of the second brake system to below the second pressure threshold, wherein said method is characterized by further comprising: iii) after performing step ii) and while still braking the vehicle, increasing the air pressure of the second brake system to above the second pressure threshold again. i) in response to determining that a request for emergency braking of the vehicle is imminent: i-a) increasing the air pressure of the first brake system, such that an additional air-pressure increase needed before the first brake system starts to generate brake force is smaller than before said increasing, and i-b) decreasing the air pressure of the second brake system, such that an additional air-pressure decrease needed before the second brake system starts to generate brake force is smaller than before said decreasing, and i-a) increasing the air pressure of the first brake system, such that an additional air-pressure increase needed before the first brake system starts to generate brake force is smaller than before said increasing, and i-b) decreasing the air pressure of the second brake system, such that an additional air-pressure decrease needed before the second brake system starts to generate brake force is smaller than before said decreasing, ii) in response to receiving said request for emergency braking of the vehicle, performing an emergency braking of the vehicle by compounding both the first and second brake systems, including: ii-a) further increasing the air pressure of the first brake system to above the first pressure threshold, and ii-b) further decreasing the air pressure of the second brake system to below the second pressure threshold, ii-a) further increasing the air pressure of the first brake system to above the first pressure threshold, and ii-b) further decreasing the air pressure of the second brake system to below the second pressure threshold,