Question i5-9600, upgrade my cooling?

[louisduquemin]

I am upgrading my CPU to a Intel Core i5-9600 3.1 GHz 6-Core Processor and I was wandering if I would need to upgrade my cooling.
I currently have a Intel E97378-001 and I need to know if it will provide sufficient cooling and if not could you recommend another CPU fan I could use.

Specs:
Motherboard: Asus Z390-A
Ram: 16gb corsair vengeance ddr4
SSD: 223GB KINGSTON SA400S37240G (SATA-2 (SSD))
HDD: 931GB Western Digital WDC WD10EZEX-00BN5A0 (SATA )
GPU: 2047MB NVIDIA GeForce GTX 1060 6GB (ASUStek Computer Inc)
PSU: CiT atx 12V model:750UB
OS: Windows 10

Thanks for any responses.

 

[Lutfij]

You might want to list your current specs like so:
CPU:
Motherboard:
Ram:
SSD/HDD:
GPU:
PSU:
Chassis:
OS:

Where are you located and what sort of a budget do you have for cooling?

 

[Countess_C]

That's a not so effective stock cooler, so I'd recommend that you get a better cooler.

Noctua NH-U12S is a good one.

Cheaper but ok ones:
Be Quiet! Pure Rock
Cooler Master Hyper 212

 

[rubix_1011]

Arctic Freezer 34 eSports DUO, $40. I reviewed this one last weekend (should be up on the site soon)...it performed very well for me.