Quote: You won't need to buy another one, unless it's OEM End quote.
.. Full, upgrade, or OEM makes no difference in this case. Your good to go as far as doing a re-install onto the SSD .
Also my recommendation.
Two things: One DISCONNECT your HDD while doing the Windows install to the SSD. (2) Verify/Set your BIOS to AHCI PRIOR to the Install.
Note: If the Windows 7 was installed on your HDD with the BIOS set to IDE, you will need to change to AHCI by editing your registry an rebooting.
If it was set to Raid, may be harder and in this case it I would :
(A) Back up YOUR data and files and delete all partitions. (B) Then after installing win 7 on SSD, reconnect the HDD and copy your data back to the HDD.