I'd very much doubt if there is a single borough in the country which isn't under excessive strain in their housing departments.
One of my nephews in the West Country aged 28ish, single, always worked on low wages, has had his name on the housing list for ten years. I don't think he will be feeling very happy when he discovers that a single unemployed migrant gets housing whilst he's still on the list. Who knows, perhaps it will be the guy throwing a petrol bomb shown in a previous post.
As a serving soldier I'd had my name on two council housing lists from when I got married. When I eventually left the army 7 tours of Northern Ireland, one in the desert, 23 years later, I wrote to both councils requesting accommodation. Both councils wrote back stating that they didn't consider married couples with no children to be homeless! I wonder if the same rules will apply to the migrants? Somehow I doubt it.