Yea if you look on the same page/screen where it tells you your CPU type it should say something like "System Type" and then 64 Bit Operating System.
If you have a CPU that supports 64bit operating system's but the Operating System currently installed is only of the 32Bit version, then you should be fine.
To determine your computers operating system, use the following method:
Microsoft Windows XP
1. Click Start, click Run, type sysdm.cpl, and then click OK.
2. Click the General tab.
The operating system description should read as below:
• 64-bit operating system: Microsoft Windows XP x64
• 32-bit operating system: Microsoft Windows XP
.Me