Would copper sulfate corrode copper metal over time?

I'm performing electrodeposition experiments with copper electrodes (anode and cathode) and a copper sulfate electrolyte solution. For my project, the cells assembled would need to be stored for a period of months. I was wondering if the copper sulfate can corrode the copper metal and how long it would take? The copper sulfate concentrations range from 5 mM to 100 mM.

$\ce{CuSO4}$ will not corrode pure copper appreciably over a few months (though there is some dissolution and redeposition through random processes, such as density gradients and thermal motion, it might just reduce a mirror finish to slightly roughened).