Are you talking about REPLACING the existing drive? If you're replacing the drive, IT is going to have a bird because you'll be removing the drive that I assume has copies of company-owned software on it. I would advise against that.
Plus the lockout/log back in you're referring to is called "Lock Computer" and is either a local or domain-level security policy, and if you have an IT department it's probably domain-level. It does not affect anything running processes, but it means your laptop ibelongs to a Windows domain. Domain membership placces a SID (security ID) on the drive to identify the machine to a domain controller when you log in. Replacing the drive would remove the SID and IT would have to re-join the laptop to the domain, raising some serious questions in the process. If the lockout policy is per machine or per user (ask IT) and not a blanket security policy you could get them to lengthen the time your laptop will wait until it locks.
Finally, it's not your drive (this one was so obviuous I left it for last).
So for three reasons ... 1) company-owned software, 2) domain membership, and 3) it ain't yours ... I advise against swapping out the drive.
I don't really understand why you need the laptop drive. I assume you offload the FLACs or whatever else you have that's personal. Why do you need the drive anyway?