Yes, the one you have will work outdoors and most cable companies don't do anything other than use good connectors on the ends of the cables. Wrapping in plastic, silicone, etc. really is overkill in my opinion and while it may help - 10 or 15 years down the road. It can be a nightmare to remove if you ever need to. As well, if you have an issue in a few years, it takes about 2 minutes to reterminate the cable outside and have a brand new connector on it.