Crosby, the NHL's Most Valuable Player, had been considering surgery to repair the injury he sustained during the regular season but instead will continue to have treatment on the wrist.
"After seeking additional medical advice, doctors have decided not to perform surgery on Sidney Crosby's wrist," the team said in a statement.
"Sid will continue treatments and be evaluated regularly while he prepares for training camp in September."
Crosby, who led the National Hockey League in scoring during the regular season with 36 goals and 68 assists for 104 points, may have been hindered during the Stanley Cup playoffs by the injury.
The league's most valuable player had one goal and eight points in 13 playoff games and was held without a point in Pittsburgh's last three games, all losses as they squandered a 3-1 second-round series lead against the New York Rangers.
Pittsburgh opens the 2014-2015 season on Oct. 9 against the Anaheim Ducks.
(Reporting by Steve Keating in Toronto. Editing by Larry Fine)