The result is shown here with the sphere blacked out (and unfortunately some frame).  Note that the contours smoothly change as we approach the sphere.  The darker, the shading, the lower the pressure.  The point of this calculation is that the pressure just decreases toward the sphere.  There is no region of pressure that is higher than the far away pressure.  

You might ask why this is significant.  Have you ever noticed how the wind blowing against a wall exerts a force on the wall?  This is because the pressure increases as the fluid is slowed down by the wall.  The fluid looses inertia as its velocity decreases.  Momentum is conserved by increasing the pressure.  For the present example, the fluid has no inertia (to loose) thus there is no region of higher pressure generated.