Yes, the CSM 3.2.2 supports IPS 6.1 and up. There is an issue in supporting 6.2 sensors for which there is a patch available from the TAC. I heard there might be service pack soon, which will have this fix included.
I am using CSM 3.2.2 with IPS 6.1 and 6.2 (with the fix). If you face any issues with 6.1, you might want to check out the bug CSCsw86478 as well.