We present sensitive, high-angular-resolution (0farcs05) Very Large Array continuum observations made at 7 mm of the core of the HH 111/121 quadrupolar outflow. We estimate that, at this wavelength, the continuum emission is dominated by dust, although a significant free-free contribution (~30%) is still present. The observed structure is formed by two overlapping, elongated sources approximately perpendicular to each other as viewed from the Earth. We interpret this structure as either tracing two circumstellar disks that exist around each of the protostars of the close binary source at the core of this quadrupolar outflow, or a disk with a jet perpendicular to it. Both interpretations have advantages and disadvantages, and future high-angular-resolution spectroscopic millimeter observations are required to favor one of them in a more conclusive way.