Aitor Karanka's side will play host to League One Charlton Athletic and League Two Walsall at the Trillion Trophy Training Centre, Wast Hills.
The Addicks visit Blues' training ground on Saturday, 22 August (12noon kick-off), whilst The Saddlers will be our opponents on Tuesday, September 1 (3pm kick-off).
Both matches will be played behind closed doors.
Charlton, who are managed by former Blues midfielder Lee Bowyer, were relegated from the Championship on the final day of the 2019/20 campaign.
Meanwhile, Walsall, who are managed by Darrell Clarke, finished 12th in League Two last season.
Blues have already confirmed details of a friendly fixture against Premier League Tottenham Hotspur at the Tottenham Hotspur Stadium on Saturday, 29 August.
The game will take place on Saturday, 29 August and be held at the Tottenham Hotspur Stadium (3pm).