Bottomline question: does running a 10.8V battery in place of an 11.1V battery damage your laptop, either immediately or over time?

Here's why I ask...

I recently bought a second battery for my XPS 15 L502X. The battery is an aftermarket battery (i.e. non-Dell brand) and fits perfectly well, but I noticed the voltage of the battery is 10.8V whereas my stock Dell battery voltage is 11.1V.  If I run thislower voltage aftermarket battery on my laptop, will it damage the laptop, either immediately or over time?