Is this sufficent for an i9-9900k proc?

Yeah it should work just fine for any processor. Paste normally won't be the thing holding any performance back.

Do I need to purchase this if I'm getting a new CPU and a liquid cooler for the CPU?

It depend on how much you trust on the existed thermal paste in new liquid cooler. If u think it not good, you can buy this one

MXN$205^.31

MXN$206.47

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Premium Zinc Oxide based thermal compound for optimal thermal performance.
Install new, or replace existing, thermal compound on your CPU and GPU to improve heat transfer and lower temperatures.
Ultra-low thermal impedance lowers CPU temperatures vs common thermal paste.
CORSAIR TM30’s low-viscosity allows it to easily fill microscopic abrasions and channels for peak thermal transfer.
Once installed, CORSAIR TM30’s high-stability liquid compound lasts for years with no drying, cracking or change in consistency.
Non-conductive, non-toxic and contains zero volatile compounds.

Overview

Specs

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TM30 PERFORMANCE THERMAL PASTE

Volume / Net Weight	3.5g
Thermal Conductivity	3.8 W/mK
Specifications	CORSAIR TM30 thermal paste helps you push your PC to its limit, with a low-viscosity premium zinc oxide thermal material that’s easy to apply. TM30’s ultra-low thermal impedance ensures high-efficiency heat transfer between your hardware and cooler, lowering temperatures and allowing for higher clock speeds. Net Weight: 3g Thermal Conductivity: 3.8 W/mK Thermal Impedance: 0.01°C -in2/W Viscosity: 2300K cPs Specific Gravity: 2.5g/cm3

Brand	Corsair
Series	TM30 Performance Thermal Paste
Model	CT-9010001-WW