Sorry for the late reply - you're more than able to ask the other party insurers for an offer.
In regards to rollo's answer, yes they will likely offer less than if you went via solicitors, but not by much - as I noted in my previous answer, we tend to try and settle as quickly as possible on striaght forward cases to stop solicitors getting involved - obviously the offer is based on NO MEDICAL EVIDENCE. You would get around �1000 offered (poss more, poss less) dependent on what you tell the insurer.
If you go to a solicitor, and get examined, the examiner may find you to be less injured than the insurer gauged, and you may well get less. On the flip side, your injuries may get worse over time and you would get more - being blunt, it depends whether you are out of the money, or just want to be compensated for your inconvenience. At the end of the day, it's money for nothing in the majority of cases - I accept there are some genuine cases out there, but the bulk we see are pikeys trying it on (or people of asian origin in the West Midlands, Luton, or London).