I know this may seem Obvious.. But dont let go of the stick. Just ease off your grip if you need, and guide it back - stopping it when you want / need.
There's no reason to let go, unless you are finished with the game.
That would be like taking your feet off the gas and brake, when in the middle of a race, while driving an F1 car.
If sticks were made to a spec in which they couldnt bounce back... they would be too stiff to move easily... and or the the spring wouldnt be strong enough to return to center at all.