1/ Gently melt your butter and mix it with the flour.
2/ Dissolve your baker's yeast in the warm milk.
3/ Beat your 2 eggs like an omelet and incorporate them into the flour then add the sugar, salt, dissolved yeast and mix your dough.
4/ Place your dough in a loaf pan and let it rest for two hours at room temperature.
6/ Meanwhile in a saucepan, put the onion studded with cloves, the carrot and garlic cloves, add the bouquet garni, salt, pepper, then pour the white wine and 1.5 to 1.75 liters of water (depending on the size of the sausage) and let simmer for 30 minutes.
7/ Preheat your oven to 200°C (thermostat 6-7)
8/ Push your sausage into the dough so that it is well centered. Dilute an egg yolk with a tablespoon of water (egg wash) and brush the top of your brioche with it.
9/ Put in the oven for 25 to 30 minutes and let rest another five minutes with the oven off.
Serve beautiful thick slices, piping hot, of your sausage brioche with a nice green salad for example.
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