The Canaries have been heavily linked with a move for the Scotland international this summer, with reports indicating they have had three bids rejected by the Whites.
Leeds are thought to have put an £8million price tag on Snodgrass's head, a sum Norwich are unwilling to match as they look to continue their summer of sensible purchases.
If Norwich were thinking about making a fourth bid for Snodgrass it appears as though they may have wait too long; Leeds are ready to offer Snodgrass a new contract to ward off any interested clubs.