The device (1) comprises a continuous flexible member (7), configured and arranged to press with a branch thereof an end portion of the tubular knitted article (G1, G2) against a supporting surface (31) and to feed the tubular knitted article (G1, G2) along a feed path from an insertion position toward and through a sewing area in which there is arranged a sewing machine (5). In the insertion area the portion of continuous flexible member in contact with the tubular knitted article (G1, G2) forms a first curve (7A; 7B). In the sewing area, the continuous flexible member (7) co-acts with a convex deflector profile (25), which imparts to the continuous flexible member (7) a curvature with a convexity facing the same part as the convexity of the first curve (7A; 7B) of the continuous flexible member (7).
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