Sweaty pipes

I just noticed that the copper water pipe that comes into the basement from the muni water supply has a lot on moisture on it. It is on the connections to, and the bottom of, the water meter as well. There are no leaks. The pipes are cold and I am sure it is just condensation. It does not drip, so it's not a lot. I have never noticed this before. I have finished the basement area that the meter is in and had planned to frame around these pipes and the meter, with an access panel for access. Can I wrap rags, or some kind of tape, around the pipe to keep it from possibly dripping, or to stop the condensation all together? Any suggestions appreciated. Thanks!