As of now, there is no jailbreak available for firmware version 9.51 on the PlayStation 4. The latest publicly available jailbreak is for firmware version 7.55, and it is not recommended to update your console to any firmware version above that if you are interested in jailbreaking.
It's important to note that jailbreaking your console can void its warranty and may lead to permanent damage or software instability. Additionally, jailbreaking can sometimes result in bans from online services such as PlayStation Network.
If you are interested in jailbreaking, it's recommended that you stay tuned to reliable sources for any news or updates on a potential jailbreak for firmware version 9.51. However, it's always important to exercise caution and thoroughly research any potential risks before attempting to jailbreak your console.