Octomom's 2013 is shaping up a lot like 2012 ... weeks after signing up for welfare (again), the mother of 14 has inked a deal to shake her naked ta-tas (again) -- but swears this is the last time.

Sources close to Octo tell TMZ she is getting paid $20,000 to do a topless strip at T's Lounge in West Palm Beach, FL. We're told it's all part of a deal she worked out with the lounge to settle their ongoing legal beef.

As TMZ previously reported, T's sued Octo last year for breach of contract after she pulled out of a similar gig, claiming she wouldn't strip after the employees trash-talked her to the media.

According to our sources, Nadya and T's worked out a deal last month. We're told the club agreed to drop the suit and Octo agreed to perform four paid shows in February (14th-16th). We're told lap dances are not on the table ... just stage dancing and bartending.

Gotta get their money's worth.