Compressor (4; 6; 104) of an axial turbomachine, comprising: - a stator having: ∘ an annular row of stator blades (32; 132) extending radially, ∘ an inner annular ferrule (36; 136) disposed at the inner ends of the stator blades, ∘ an annular brush seal (40; 140) disposed on the inner ferrule (36; 136) and comprising bristles extending generally axially, and which are generally tangential to or aligned with an annular surface (42; 142), - a rotor having a drum (24; 124) and an annular row of rotor blades (26; 126) disposed downstream of the stator blades (32; 132) and an annular platform (28; 128) disposed radially at the inner end of the rotor blades (26; 126), the annular platform (28; 128) comprising a tubular sleeve whose inner surface forms said annular sealing surface (42; 142) which cooperates with the brush seal (40; 140) and surrounds it so as to ensure a seal between the inner ferrule (36; 136) and the rotor, such that the annular surface (42; 142) is disposed axially away from the stator blades (32; 132); and that the rotor blades (26; 126) at least partially axially overlap the brush seal; characterised in that the rotor comprises at least one radial annular groove of radial retention of the rotor blades which is open radially outwardly, the rotor blades comprising retention feet inserted in the radial groove so as to ensure radial retention of the rotor blades, the annular surface being disposed radially away from the radial groove; and in that the rotor blades comprise stops at axial distance from the retention feet, the stops extending radially from the annular platform to cooperate with the drum (24; 124), the stops extending radially opposite the brush seal. - a stator having: ∘ an annular row of stator blades (32; 132) extending radially, ∘ an inner annular ferrule (36; 136) disposed at the inner ends of the stator blades, ∘ an annular brush seal (40; 140) disposed on the inner ferrule (36; 136) and comprising bristles extending generally axially, and which are generally tangential to or aligned with an annular surface (42; 142), ∘ an annular row of stator blades (32; 132) extending radially, ∘ an inner annular ferrule (36; 136) disposed at the inner ends of the stator blades, ∘ an annular brush seal (40; 140) disposed on the inner ferrule (36; 136) and comprising bristles extending generally axially, and which are generally tangential to or aligned with an annular surface (42; 142), - a rotor having a drum (24; 124) and an annular row of rotor blades (26; 126) disposed downstream of the stator blades (32; 132) and an annular platform (28; 128) disposed radially at the inner end of the rotor blades (26; 126), the annular platform (28; 128) comprising a tubular sleeve whose inner surface forms said annular sealing surface (42; 142) which cooperates with the brush seal (40; 140) and surrounds it so as to ensure a seal between the inner ferrule (36; 136) and the rotor, such that the annular surface (42; 142) is disposed axially away from the stator blades (32; 132); and that the rotor blades (26; 126) at least partially axially overlap the brush seal; characterised in that the rotor comprises at least one radial annular groove of radial retention of the rotor blades which is open radially outwardly, the rotor blades comprising retention feet inserted in the radial groove so as to ensure radial retention of the rotor blades, the annular surface being disposed radially away from the radial groove; and in that the rotor blades comprise stops at axial distance from the retention feet, the stops extending radially from the annular platform to cooperate with the drum (24; 124), the stops extending radially opposite the brush seal.