You could drop that sucker in a mini-potato chip bag (those thing METAL types) and be fine, I think.
Here’s an experiment that will convince you of the value of a Farraday Cage:
Put phone A in a microwave, door open. Call the phone, observe ring.
Close the door of the OFF microwave:
Call the phone. It does not ring.
Those are the effects of a (small) Farraday Cage.
You need more than that - you need a cage made of mu-metal because the EM signal has a magnetic component which also needs to be blocked, in addition to the electrical component.