Griffiths, who is on loan at Hibernian from Wolves, has been in red-hot form this season, notching 13 goals in 14 SPL matches.
His good form resulted in senior international recognition earlier this month as he made his Scotland debut in their 2-1 win in Luxembourg.
The 22-year-old began his career at Livingston, where he made his first-team bow at just 16, before moving to Dundee.
His form there earned him a transfer to Wolves in 2011, but he has managed only ten minutes of action at the Molineux club.
He has, however, thrived at Hibernian and Norwich could now look to hand him a chance to shine in the Premier League in January.