A turbine distributor sector for an aircraft turbine engine, comprising an external annular platform sector and an internal annular platform sector, said sectors being coaxial and being connected together by blade assemblies comprising inner cavities cooled by gas circulation, the external platform sector comprising through openings of which radially internal ends open into said inner cavities, wherein said external platform sector comprises inner ducts for supplying said cavities with gas, said ducts comprising air outlets opening into said openings and air inlets opening onto a portion of the external annular surface of the external platform sector.