  We present evidence for the presence of a weak compact jet during a soft
X-ray state of Cygnus X-1. Very-high-resolution radio observations were taken
with the VLBA, EVN and MERLIN during a hard-to-soft spectral state change,
showing the hard state jet to be suppressed by a factor of about 3-5 in radio
flux and unresolved to direct imaging observations (i.e. < 1 mas at 4 cm). High
time-resolution X-ray observations with the RXTE-PCA were also taken during the
radio monitoring period, showing the source to make the transition from the
hard state to a softer state (via an intermediate state), although the source
may never have reached the canonical soft state. Using astrometric VLBI
analysis and removing proper motion, parallax and orbital motion signatures,
the residual positions show a scatter of ~0.2 mas (at 4 cm) and ~3 mas (at 13
cm) along the position angle of the known jet axis; these residuals suggest
there is a weak unresolved outflow, with varying size or opacity, during
intermediate and soft X-ray states. Furthermore, no evidence was found for
extended knots or shocks forming within the jet during the state transition,
suggesting the change in outflow rate may not be sufficiently high to produce
superluminal knots.
