Device for producing a pipette in an injection moulding machine, comprising: an injection mould having a first mould half, which receives a core, and a second mould half, which receives a die, wherein the position of the core in relation to the die can be set and adjusted, wherein the core has a flange on one end for fixing to the first mould half, forms a cylindrical section extending from the flange, a conical section extending therefrom, a cylindrical or conical section extending therefrom and a pointed truncated cone extending therefrom having a point, wherein the pointed truncated cone forms the inner space of the tapering region of the pipette; a stripping sleeve, which comprises a cylindrical and a conical section, and which surrounds the cylindrical and the conical section (21; 18) of the core, wherein the stripping sleeve has an axially symmetrical bore, which, in the rear part, has a diameter that is greater than an outer diameter of the core and which runs conically in the front part and abuts on the conical region of the core substantially without play, and wherein the stripping sleeve has a cover which is formed eccentrically to an axis of symmetry A of the core, wherein the eccentricity comprises the cylindrical and the conical section of the stripping sleeve; and a bushing that can be plugged onto a front part of the stripping sleeve and can be rotated in relation to the stripping sleeve, wherein the bushing comprises a flange-like back end that axially supports a circumferential web of the stripping sleeve, wherein the bushing has a bore, which is formed congruently to the cover of the stripping sleeve and eccentrically to a cover surface of the bushing. an injection mould having a first mould half, which receives a core, and a second mould half, which receives a die, wherein the position of the core in relation to the die can be set and adjusted, wherein the core has a flange on one end for fixing to the first mould half, forms a cylindrical section extending from the flange, a conical section extending therefrom, a cylindrical or conical section extending therefrom and a pointed truncated cone extending therefrom having a point, wherein the pointed truncated cone forms the inner space of the tapering region of the pipette; a stripping sleeve, which comprises a cylindrical and a conical section, and which surrounds the cylindrical and the conical section (21; 18) of the core, wherein the stripping sleeve has an axially symmetrical bore, which, in the rear part, has a diameter that is greater than an outer diameter of the core and which runs conically in the front part and abuts on the conical region of the core substantially without play, and wherein the stripping sleeve has a cover which is formed eccentrically to an axis of symmetry A of the core, wherein the eccentricity comprises the cylindrical and the conical section of the stripping sleeve; and a bushing that can be plugged onto a front part of the stripping sleeve and can be rotated in relation to the stripping sleeve, wherein the bushing comprises a flange-like back end that axially supports a circumferential web of the stripping sleeve, wherein the bushing has a bore, which is formed congruently to the cover of the stripping sleeve and eccentrically to a cover surface of the bushing.