Overwriting Images using Media Uploader

Hello,

When uploading new photos under the Media tab, WordPress automatically changes the file name and creates a new file if the file you’re uploading has the same file name as one previously uploaded. Essentially, it creates a new file rather than overwriting the existing file.

Is it possible to modify WordPress (maybe via a plugin), so I can overwrite the previous file rather than creating a new one?

Thanks!

Jamie