After 1 hour, strain the milk and porcini mixture into a small saucepan, squeezing as much milk from the porcinis as you can. (If you don't have a fine strainer, it may be necessary to strain the infused milk through cheesecloth to rid it of any small flecks of dirt or what not from the porcini.) Chop the porcini and add them to the mushrooms in the skillet.
Warm the infused milk over low heat. When it begins to show small bubbles, turn off the heat. In another small saucepan over medium heat, melt the butter. When it’s melted and the foaming has subsided, stir in the flour. Keep stirring until the flour begins to darken just slightly, about 2 minutes. Take it off the heat when it’s about the color of butter. Let the mixture cool for 30 seconds and then whisk the butter-flour mixture vigorously while you pour in 1 cup warm porcini-steeped milk.
Return the pan to medium-high heat and keep whisking, being certain to get the whisk into the edge the pan. Whisk until thick enough to coat the back of a spoon, 2 to 3 minutes. Slowly pour in as much of the remaining milk as needed, a little at a time, to achieve the desired consistency. Whisk in the salt and pepper to taste.