• WordNet 3.6
    • v oversew sew (two edges) with close stitches that pass over them both
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Century Dictionary and Cyclopedia
    • oversew To sew in a manner similar to overcasting, but more closely, so as completely to cover the edge of the material, and with greater care.
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In literature:

The process of stitching up at the back is simply an oversewing with silk or other strong thread.
"Embroidery and Tapestry Weaving" by Grace Christie
This stitch, like oversewing, may be worked from right to left or from left to right.
"Textiles and Clothing" by Kate Heintz Watson
Poor paper should be oversewed.
"Library Bookbinding" by Arthur Low Bailey