I don’t like the hard and slippery mouthpiece that’s attached to the tube.
First, I’ve tried to use mouthpiece patches for saxophones to get a better grip, but wasn’t happy with that.
But now I’ve found something that feels very comfortable, no need to bite or to press with the lips: A baby dummy! (Also called: pacifier, soother, dodie, … depending on region). I use silicone dummies (Yamaha: size 2 or 3, Suzuki: size 3, usually the largest available size).
If you want to try this yourself:
Remove the dummy from the mouth shield and cut off the tip:
Put it on the (cleaned) mouthpiece:
Then adjust position and length so that it feels comfortable for you and doesn’t block the airflow.
For hygienic reasons, I recommend rinsing it with water after playing and drying it carefully.
I think food grade silicon tubes might be an alternative, but I like the rounded shape of the dummy, it’s really comfortable.