Stitch onto - Idioms by The Free Dictionary
stitch something onto something and stitch something on
to sew something onto the surface of something else. Fred stitched the badge onto his jacket. Fred stitched on the badge.
References in periodicals archive
5mm Crotchet hook Rib cast off: Slip every other stitch onto
another needle, so that you have the purl stitches on one needle and the knit stitches on another.
He also decided to use a unique high-tech fabric to stitch onto
the outer surface of the underwear's seat pocket.