My question is related to this question What is Hybrid Sleep in Windows 7?
Seems I don't have the option on my laptop: - Gateway MT6826j - Windows 7 Ultimate (upgrade from Vista Ultimate)
You probably don't have hibernation enabled, as hybrid sleep requires hibernation support to save the memory content to the hard drive.
Check if you have a file named hiberfil.sys in the root for your boot disk. If you don't have it, hibernation is not enabled.
To enable it, run the command from an elevated command prompt: