//The question makes no sense.//
I disagree, Ikky. The question makes perfectly good sense.
The idea of asylum (i.e. being a refugee) is that it is too dangerous to remain where you are so you flee and seek refuge elsewhere (hence "refugees"). Those doing so are said to be so fearful for their safety that they have upped sticks, often leaving in such a rush that they had no time to see that their wives and children were safe.
So, with that in mind, surely once you have reached a place of safety, that should be sufficient. You report to the authorities there, lodge a claim for asylum under the UN Convention on the treatment of refugees, and get your status formalised.
There are plenty of safe countries between the point of departure for those fleeing their homelands and the UK. Certainly in most of mainland Europe and arguably in Africa and Asia. Tunisia is arguably safe.
Of course it may be that many of such countries are not quite so benevolent as the UK and does not allow migrants to pick and choose where they will stay, whilst providing free legal representation to those who wish to challenge the governments of the countries where they have imposed themselves. But that's quite a different matter.