President Obama is a believer in slow and steady wins the race. He does not make rash decisions. He does plan ahead and formulate reasonable plans that happen slowly and methodically. He will not just stamp it "closed" but will propose a plan to close it slowly, one step at a time over the course of a few years so alternate places can be secured and everything can go smoothly.
It's a topic that's tumbling down the list of important issues as well as one that is met with very strong opposition when brought up. There are moe dire problems such as improving the economy (which it is) to handle, this isn't on the radar of many people. It's really something he never should have brought up because it's not very plausible and it's not very important, all he accomplished was giving nutjobs something about him to point at and cause a ruckus.
There is no particular reason for President Obama to close the Guantanamo detention facility. There is no significant difference in the global political climate that lessens the threat of terrorism initiated by groups that have ties to current detainees. Further, there is no political pressure to close the facility – having won a second term, there is no political gain to be had from closing the facility. There is actually only political and actual risk, should a terrorist attack be linked to the release of detainees or their transfer to stateside facilities.
I don't have any faith in your president. After his first term has the economy gotten better? Has education got worse? What about healthcare issues? Are we still being taxed for a war that he was supposed to end? i have no doubt that Guantanamo will continue to do its business for years to come.