Veruturris subconcavus is an extinct species of sea snail, a marine gastropod mollusk in an unassigned family in the Conoidea.

The later portion of the protoconch (the only part preserved in the type specimen) is distinctly longitudinally ribbed.

Beyond the sinuous fracture denoting the commencement of the brephic stage these costae suddenly cease and give way to spiral lineations, with a prominent median sulcation indicating the position of the sinus.

The columella is covered by a thin deposit of shell enamel, not callous posteriorly, slightly twisted in the middle.

Fossils of this marine species were found in Eocene strata in Victoria and New South Wales, Australia.