Mr Brit, I would say it's likely - when I worked in insurance, a depression of more than an inch could be deemed likely to result in trip or fall accidents. Did you take any photos of the scene? That always helps. Is it still there, unrepaired? - that again could be worth photographing if so - although if they ran round and repaired it after your accident, or put signs up, that too can be seen as an admission of liability. Most important of all - did you go into the shop and report what happened, did they enter it up as an accident in their accident book?
The supermarket would need to demonstrate that they were negligent in failing to warn the public about the hole, by signs or lighting, if there was a "reasonable expectation" that damage might arise by their doing nothing about it.
If your insurance company are dealing with it, I would leave it to them - a week is no time at all in terms of preparing a case for litigation under liability insurance.