Automatically stop background stream music after I turn-off my Bluetooth headset

Hello community. I have a question about background streaming music in my Android Firefox. Earlier I used to streaming music by Android Chrome and Edge and after when I turned-off my Bluetooth headset stream also stopped. Today I use Android Firefox and after I turn-off my Bluetooth headset the stream doesn't stop and continuing play on my phone speaker. Is it possible to make something in Firefox to stop background stream when I turn-off my Bluetooth headset?