You can get these “mutes“. But honestly, they aren’t going to do much if anything. Maybe the low Bb will be damped, but if you are practicing palm keys stuff……forget about it. There is the E-Sax practice thing, but that seems to be for Alto sax? No tenor sax? And there seems to be this bag, the Oval Saxophone mute. But it doesn’t seem unavailable to purchase? Not sure how much damping it does.
The most promising muting device is the Saxmute ONE for alto and tenor saxophones. At almost the price of the E-Sax mute, it doesn’t have the bells and whistles the E-Sax mute has like a built in mac, line in, or reverb. Though I’m not sure how good those things are on the E-Sax Mute. The Saxmute ONE seems bigger, and has a TON of padding in it (check out the Facebook page). And one reviewer did mod his Saxmute ONE out with a microphone setup.
So…..I guess there are three choices?……:-/