The Reds' opulent history of producing players from within is much-fabled, but no homegrown talents have established themselves as senior regulars at Old Trafford since Darren Fletcher and John O'Shea.
Having experienced first-hand the talent within Carrington's current crop of youngsters, however, Solskjaer is adamant that the future is bright.
"There are people with first-team potential that I am working with at the moment," he told the Manchester Evening News. "United do have a history of getting players into the first team from their own ranks.
"In the last few years we've had Gerard Pique and Giuseppe Rossi come through, though they are now at other clubs. There are the likes of Darren Fletcher, John O'Shea and Wes Brown who have all come through the system, so there is a chance. It is up to every individual. It is not impossible.