Needle machine comprising at least one needle plate, from which projects an array of needles, means for imparting an elliptical, reciprocating motion to the needles and at least one support table drilled with an array of through holes, or which it is intended to pass in a direction MD, being supported on it, a fabric or web of fibres to be consolidated by needling, the each executing an elliptical, reciprocating motion in the respective through holes, each having an upper respective opening on the fabric support side, a lower respective opening on the opposite side and an inner sidewall extending between the two upper and lower openings, characterised in that each hole is machined so that there is a longitudinal section with a greater dimension MD in which the upper respective opening of the hole has a greater dimension in the direction MD and, in this longitudinal section of greater dimension MD, the inner sidewall of the hole is defined, at least in its upper region, by two left and right lines inclined to the vertical and converging downwards, the angles of inclination of the two lines to the vertical being of opposite sign and in particular each having an absolute value of between 2 and 30° respectively, in particular having the same absolute value.