A fundraising website set up by the family says Mr Schofield, 34, was left in a coma for several days after the crash in Phuket.
He was left with extensive injuries, including a broken jaw, two broken arms, broken collarbone and a shattered eye socket, plus brain trauma.
Doctors also removed a part of his skull to relieve pressure from brain swelling. Details of the crash are not known, other than it was a single vehicle crash.
Canadian media reported Mr Schofield arrived in Phuket in August to teach.
Family set up a fundraising website, due to Mr Schofield's "minimal medical coverage". So far more than $29,000 Canadian dollars, around B890,000, has been donated for his medical treatment.
A story from the Nova Scotia-based Nova News Now said Mark taught in Korea for seven or eight years, where he met his wife Rachel. He returned to Wolfville in Canada last year to complete an education degree.
Rachel planned to join Mark in Thailand.
Rachel and Mark’s parents, Douglas and Kathleen, were due to arrive in Phuket yesterday.
Visit the fundraising page here.