It can cause condensation and rust provided the air is at the maximum suggested allowable moisture volume of 67ppm (-50f/-45c). That being said, that's REAL close to making your compressor filters useless, so most "air" tends to be lower than that. It's bad for business when you get hydrocarbon and CO bypass in your tanks because your charcoal and Hopcalite are wet.
The US Navy uses -65f(-53c)/24ppm as their maximum standard, although Analytical Chemists claims that the stuff they test for the Navy tends to be around a -70f(-57c) dewpoint or even colder.
Point is, you're PROBABLY below the threshold, but if you're not, you're gonna need your tanks tumbled. Choice is yours. I'd just shove them in a closet in the house and not worry about it.