Most lawyers know to request a digital copy of deposition transcripts. It doesn't cost very much, and digital files can be manipulated much more easily than paper: searching is simple, and sections can be easily moved to trial notebooks or anywhere else by cutting-and-pasting.
If the digital copy resides on a floppy disk, however, you might have problems. Floppies are easily lost. The better alternative is to get the transcript via email. Most court reporters offer this service, which allows you to save the deposition on your hard drive as soon as you receive it. You'll also have a backup in your email.
While a floppy can be transferred too, it's something that often gets put off until it's too late.