Suspend depends on a lot of variables, hardware, firmware, bios, and software.
Suspend and Hibernate both have worked on this laptop (see signature) with no glitches for LM Felicia, Gloria, Isadora and LMDE.
But my 7 y/o emachines desktop has problems, but then it had problems in WinXP.
Compaq Presario CQ62 Dual-Boot: Mint 17 Cinnamon, LMDEREADING: Little Brother
by Cory Doctorow