Here's the crucial link.

by R. Proffitt Moderator - 12/17/12 8:38 PM

In Reply to: ... crutial. by Crate1ctbs

http://www.crucial.com/upgrade/HP+-+Compaq-memory/HP+Mini/HP+Mini+311-1037NR-upgrades.html

2GB
DDR3 PC3-10600 • CL=9 • Unbuffered • NON-ECC • DDR3-1333 • 1.35V • 256Meg x 64 • • Part #: CT2148206

The Kingston is noted as 2 GB (1 x 2 GB)Standard 256M X 64 Non-ECC 1333MHz 204-pin Unbuffered SODIMM (DDR3, 1.5V, CL9, FBGA, Gold)

Given the voltage difference alone it may not work.
Bob