I have two and they’re within 1/2 PSI of each other where the TPMS shows 2-3 PSI lower:It shouldn’t, as long as it’s at or below maximum psi. I wouldn’t worry about it and just do a 5 tire rotation and take some air out of it then.
JACO Superior Products ElitePro Digital Tire Pressure Gauge - Professional Accuracy - 200 PSI Amazon.com
Joes Racing 32307 (0-60) PSI Tire Pressure Gauge Amazon.com
I like Joe’s as it doesn’t require a battery but the digital accuracy of the JACO is nice.