The arrival of Robin van Persie has placed in doubt Welbeck's future at Old Trafford.
"We've got five options up front, really, and Danny has played in different positions," Carrick said.
"He's also played out wide and done fine. But I think he'll play more than his fair share of games up front and score enough goals. Watching the likes of Robin and Wayne [Rooney] will improve him as the years go by."