Note: It's highly recommended to avoid accessing PSN on your jailbroken PS3 in order to avoid possible bans from Sony.
Download 3.55-60CFW-naima.patch then apply it to official firmware 3.55
Naima PS3 Custom Firmware 3.55 / 60 Hybrid Download Available With Full PSN Access!
The Spanish hacker Naima, has successfully released PS3 custom firmware called Naima CFW 3.55 / 60 hybrid. The new custom firmware is a CFW 3.55 with some files taken from the newly 3.60 firmware. More over, it spoofs PS3 console on 3.60 firmware which allows full PSN access for games and applications with preserving jailbreak capabilities of custom firmware 3.55.