I knitted socks for my Barbies with the MTM body. They fit both standard and curvy bodies.
I used 0.7 mm circular needles (magic loop).

Short pattern:

Cast on 20 stitches using an elastic cast-on.

Work 7 rows of 2×2 rib.

Knit 2 rows.

Decrease 2 stitches on the first needle (heel side).

Knit 4 rows.

Decrease 2 stitches on the second needle (front of the sock).

Knit 5 rows.

German short-row heel: 3–2–3 (work 2 smoothing rows in the round in the middle of the heel).

Knit 2 rows to finish working all short-row stitches.

Foot: knit 12 rows.

Toe:
Decrease 4 stitches (2 on each needle).

Knit 3 rows.

Decrease 4 stitches (2 on each needle).

Finish with Kitchener stitch.