The 24-year-old has made five appearances for the Pilgrims since joining the club in January on a one-month loan.
Argyle boss Paul Mariner said: "We're trying to extend his loan and it's looking extremely positive. He has fitted into the squad very well and he has proven to everybody that he's very commanding in the box."
Mariner told the club's official website he hopes to secure a longer deal for Stockdale after Tuesday's game with Swansea.
Source: BBC Sport
Source: BBC Sport