Part-owned by Sir Alex Ferguson, the eight-year-old was last seen winning at Kempton in November.
While the problem is not serious, it is enough to draw stumps, with the Ladbrokes Trophy at Newbury an early big-race target next term.
Nicholls said: "Give Me A Copper is out for the season. He just got a little jarred up after Kempton.
"We will come back with the view of having a run in a graduation chase en route to the Hennessy (Ladbrokes Trophy).
"He will be back next season. He is an exciting prospect and he still will be."
Another nice horse who has suffered a setback is Clan Des Obeaux, who is also partly owned by Ferguson and was second under top weight in the Caspian Caviar Gold Cup in December.
"Clan Des Obeaux has thrown a splint," said the Ditcheat handler.
"I've just been struggling with him. He has been intermittently lame for two weeks and we couldn't find out why and Tuesday night he threw a splint.
"We will try to get him back for Cheltenham, but we will more likely go for Aintree."
Select any odd to add a bet