The national team boss was at the iPro Stadium to watch the 24-year-old left-back impress during the victory.
And Scotland's assistant manager, Mark McGhee, confirmed that the player is being monitored.
McGhee said: "We've been watching lads at Derby - not so much Craig Bryson but Craig Forsyth."
Bryson already has two caps for Scotland and has been in recent squads but Forsyth has yet to represent his country.
Derby skipper Richard Keogh did his chances of representing the Republic of Ireland again no harm as well.
Ireland's management team of Martin O'Neill and Roy Keane saw him put in a commanding display against the London club.