The Canaries were expected to lose a number of key players following their relegation from the Premier League, but only recent Hull City signing Robert Snodgrass has returned to the top flight of English football, and Adams is hopeful that there won't be any further departures.
"There will be plenty of bids and we will knock them all back as best we can unless and until it becomes like the Robert Snodgrass situation, when it reaches a point you have to do business," the Norwich boss told the Eastern Daily Press.
"We have said we don't need to sell many times, and that included Robert Snodgrass, and we will be trying our hardest to keep each and every single one of them.
"Of course speculation and rumours will be rife."
Adams expressed his desire to keep Leroy Fer earlier this week after the Dutch midfielder was linked with Queens Park Rangers.