Sissoko, 22, has been keen to move to England since being released from French Second Division outfit Creteil.
After impressing on trial with Swansea City earlier in the campaign, the left-sided player was offered a three-month contract with the Welsh outfit. He becomes Thordarson's third signing of the transfer window, after Lee Crooks and Eugene Dadi.
The Icelander is still hopeful of adding Swansea striker Marc Goodfellow before the 12pm deadline, but faces strong competition from a number of other League Two clubs.
For an in-depth look at Noe Sissoko, be sure to check back to NCM in the near future.