Griffith, who left Vale to join Russell Slade's side last summer, could make his second debut for the club against Bradford on Tuesday.
The 26-year-old midfielder made over 160 appearances during a four-year spell with the club after joining from Doncaster in 2008.
"Griff's battling qualities are an asset to any squad and he will be no stranger to Vale fans as a former Player of the Year," manager Micky Adams told the club's official website.
"He knows the club and he knows the majority of the players which will help him to settle in quickly and hit the ground running."
