hi Nicolas,
there are a couple of work arounds to this one…
a) you could have your background pushed really far behind and then scale it up…either which ways you’d want it blurry, so any minor artifacts would get covered up
b) fake it by applying some sort of blur (fast blur in case you’d want to render it faster)
c) the actual way of going ahead with it is to play with the distance between the background and your foreground, set these two up first, then goto your camera settings and adjust your aperture, blurriness and especially your focus distance < that was actually a no brainer but, it all depends on how far you need your background to be…
if you are into photography, this would really be a cakewalk, however to make things simple and with the screenshot youve provided:
your blur level is too high - try something around 400
apeture anywhere between 50-60
focus distance between 2500-300
and see how things work by pushing your background and foreground towards and away from the camera
All the best!