As a landlord, I've offered tenants the following deal to get out of leases early: 1) they sacrifice the remaining month's rent, the following month's rent, plus the security deposit, and get out scott-free immediately; OR, 2) I advertise for a new tenant immediately, and the current tenant continue paying rent up to the day the new tenant takes occupancy, at which point the remainder of that month is refunded on a pro-rated basis, they get back their security deposit, and are free of the lease.

Both are entirely legal in my state. Option 1 is actually written into the standard state lease explicitly. Option 2 is if you have faith in me (the landlord) and the awesomeness of the property, and maybe like to gamble a bit.

Honestly though with just one month to go, even if your landlord offered you my option 2, you might get back a week or two worth of money at the most. It was a long shot for you to find someone to rent for just one month in the first place. Even so-called 'short term' leases are padded. I'd just pay the month and never look back.