It's unlikely there is an especially high concentration of dark matter in the Solar System.
The principle attribute of dark matter is that it's weakly interacting. It's not just weakly interacting with normal matter, it also interacts only weakly with itself. Trying to get matter to collapse into a ball like the Sun is harder than you might think. The matter falling into the gravitational well has a lot of kinetic energy, and you can only make it aggregate in the centre if you can dissipate that energy somehow. If you don't dissipate the kinetic energy the infalling matter just whizzes straight through and out the other side.
Ordinary matter can dissipate energy by radiating photons i.e. it gets hot and loses energy by shedding heat. Dark matter can't do this, or rather it can do it only extremely slowly because it has no interaction with electromagnetic fields and can't radiate photons. This means it can't easily be concentrated in the gravitational field of a star, and consequently the dark matter density near the Sun isn't likely to be much higher than the average density in this part of the universe.
You do get regions where the dark matter density is higher than average, for example the bullet cluster. The question is whether the galaxy cluster attracted the dark matter or whether the cluster formed because the dark matter density was already high in that region (possibly as a result of fluctuations left behind by inflation).