Sarah Tew/CNET

If you hear a grinding noise when you insert a disc into your new Xbox One, you're not alone.

Following the launch of the new console on Friday, more Xbox One owners are reporting that their disc drives are malfunctioning. The problem? Inserting a disc into the drive triggers a grinding or clicking noise, with the unit unable to read the disc.

Some early buyers had already posted comments and YouTube videos late last week detailing the glitch. But with 1 million Xbox One consoles sold during the first 24 hours, the problem has spread, triggering a response from Microsoft.

"The issue is affecting a very small number of Xbox One customers," Microsoft said on Monday as part of the following statement sent to CNET:

We're working directly with those affected to get a replacement console to them as soon as possible through our advance exchange program. Rest assured, we are taking care of our customers. While a replacement console is on its way, we want to ensure our advance exchange customers can stay in the game. We will provide each of them with a free digital download of one of the launch titles published by Microsoft Studios.

Microsoft also has promised that affected buyers won't have to wait too long for a replacement.

"Customers have the option for us to send a replacement console right away without waiting until they have returned their old one," Microsoft said. "This means a customer only has to wait a matter of days, rather than weeks to get back up and running."

Microsoft didn't indicate exactly how many people are included in a "very small number." But defects in a certain percentage of gaming and other hardware units aren't unusual. Buyers of Sony's PlayStation 4 have also complained of crashes and other technical troubles, a situation that Sony called "isolated incidents" within its expectations for a new product launch.

Update, 8:05 a.m. PT: Adds response from Microsoft.