  Context. The Gaia project will determine positions, proper motions, and
parallaxes for more than one billion stars in our Galaxy. It is known that
Gaia's two telescopes are affected by a small but significant variation of the
basic angle between them. Unless this variation is taken into account during
data processing, e.g. using on-board metrology, it causes systematic errors in
the astrometric parameters, in particular a shift of the parallax zero-point.
Previously, we suggested an early reduction of Gaia data for the subset of
Tycho-2 stars (Tycho-Gaia Astrometric Solution; TGAS).
  Aims. We aim to investigate whether quasars can be used to independently
verify the parallax zero-point already in early data reductions. This is not
trivially possible as the observation interval is too short to disentangle
parallax and proper motion for the quasar subset.
  Methods. We repeat TGAS simulations but additionally include simulated Gaia
observations of quasars from ground-based surveys. All observations are
simulated with basic angle variations. To obtain a full astrometric solution
for the quasars in TGAS we explore the use of prior information for their
proper motions.
  Results. It is possible to determine the parallax zero-point for the quasars
with a few {\mu}as uncertainty, and it agrees to a similar precision with the
zero-point for the Tycho-2 stars. The proposed strategy is robust even for
quasars exhibiting significant fictitious proper motion due to a variable
source structure, or when the quasar subset is contaminated with stars
misidentified as quasars.
  Conclusions. Using prior information about quasar proper motions we could
provide an independent verification of the parallax zero-point in early
solutions based on less than one year of Gaia data.
