Keeper Coyne was on the bench for Saturday's 3-3 Championship draw with Leicester at the Riverside Stadium, but has not played a senior game since January because of a back problem.
Midfielder Flood dislocated his kneecap on the opening day of the season, but got 59 minutes under his belt for the reserves last week.
Both men are included in the second string squad for Tuesday's clash with Hull at the Riverside, and will hope to press their claims for inclusion in manager Tony Mowbray's plans for Saturday's league trip to Sheffield United.
Source: PA
Source: PA