I would recommend it, I had a similar issue with a different brand. Turns out after opening up the entire housing wasn't tightly sealed and the water / moisture built up inside and caused a corrosive issue blowing out some circuitry. More trouble than it's worth to try to fix them sometimes.
I've got a La Crosse Atomic Clock with the TX37U-IT outside sensor for temperature. The manual stated not to position it where it would get wet and the only place outside my apartment I could mount it was between the screen and window so I put it inside a freezer zip-lock bag.
I was apprehensive that condensation would form inside the bag and short it out but it's still going after 4 months and I haven't had to change the batteries yet. It has a readout for inside temp and humidity, moon phase, etc and is really nice.