The documentation on that class details that problem:
The Windows operating system notifies your component of file changes in a buffer created by the FileSystemWatcher. If there are many changes in a short time, the buffer can overflow. This causes the component to lose track of changes in the directory, and it will only provide blanket notification. Increasing the size of the buffer with the InternalBufferSize property is expensive, as it comes from non-paged memory that cannot be swapped out to disk, so keep the buffer as small yet large enough to not miss any file change events. To avoid a buffer overflow, use the NotifyFilter and IncludeSubdirectories properties so you can filter out unwanted change notifications.
So, threads probably won't help you much in this case. You probably want to either increase the buffer size (but how large it should be may well depend on the speed of the computer and the disk itself) or constrain what files you are interested in by setting the appropriate filter.