We review the status of the search for the electroweak production
of single top quarks by the CDF and D0 collaborations at the Fermilab
Tevatron proton-antiproton collider using Run II data.  With a dataset of
approximately 160 pb-1 for CDF and 230 pb-1 for D0, neither experiment
finds evidence for single top production and sets 95% C.L. upper limits on
the production cross-sections.  The CDF limits are 10.1 pb for the t
channel, 13.6 pb for the s channel and 17.8 pb for the combined production
cross-sections of s and t channel.  The D0 limits are 5.0 pb for the t
channel, 6.4 pb for the s - channel production cross-sections.  Both
experiments investigate the prospect for a 3 sigma evidence and a 5 sigma
discovery.