1 Virus Ti on 2 PC's with different operating systems

Hi,

I use my TI 1 desktop on a dedicated WinXPsp3 (32 bit) Music PC for years without problems.
Recently I bought a new laptop with Win8 64bit

Can I install the 64 bit Ti software on my laptop use the Virus there, then simply disconnect the USB cable and put it in my 32 bit WinXP systems without problems?

I Ask because maybe the software inside the Virus itself (firmware?) is also updated when installing the TI software on a 64 bit system

Thanks

Thanks!