A process is disclosed for using heavy petroleum fraction as a drive fluid in the recovery of hydrocarbons from a subterranean formation. The hydrocarbons may be in the form of bitumen or heavy oil. The heavy petroleum fraction may be injected into at least one injection well and hydrocarbons produced out of at least one distinct production well. The heavy petroleum fraction may be co-injected together with steam and/or hot water and/or solvent. The heavy petroleum fraction may be a heavy fraction of a process used to upgrade crude oil, such as a heavy asphaltene fraction produced from solvent deasphalting crude oil produced by this recovery process.