The former jockey's injuries are not considered life-threatening.
Turcotte,73, is not feeling any pain as he was paralyzed from the waist down in a horse racing accident at the Belmont Stakes in 1978.
"We prefer to talk to reporters when it was good news," said his wife, Gaetane Turcotte, who was still shaken by Monday's events.
Turcotte, who lives in Drummond, spent Monday night at the Hôtel-Dieu Hospital in Perth-Andover.
The New Brunswick native won horse racing's triple crown with Secretariat in 1973 and set records in the Kentucky Derby, the Preakness and the Belmont Stakes that still stand.