Phase-resolved ROSAT observations of the soft X-ray flux from the W-R
+ O star binary V444 Cyg confirm the orbital dependence of the flux su
ggested by Einstein IPC observations, showing a drop in flux around pr
imary eclipse, when the W-R star is in front of the O star. The observ
ed X-ray variability can be modeled as a wind eclipse of an X-ray sour
ce by the Wolf-Rayet wind. If most of the X-rays from the system are p
roduced in a region of shock-heated gas formed by the wind collision b
etween the two stars, then the shocked gas has a large physical extent
(r similar to 140R(WR)) if the observed variability is produced solel
y by the eclipse of the region by the W-R wind. However, since the O s
tar makes a significant contribution to the total X-ray flux from the
system, the actual size of the shocked interaction region is probably
much smaller. We discuss possible origins for the X-ray emission and c
onclude that it is probable that at least a fraction of the observed X
-ray emission comes from the wind collision.