There is a method for enhancing the recovery of oil from a reservoir. The method has the step of a) introducing a flooding fluid into the reservoir and b) extracting the oil through a wellbore at a location different than the point of introduction of the flooding fluid into the reservoir. The flooding fluid has water and an amount of one or more non-polymeric viscoelastic surfactants sufficient to provide an interfacial surface tension of about 1 mNm or less and a viscosity of about 10 cps or more. The one or more surfactants is selected from the group of one or more cationic surfactants, one or more zwitterionic surfactants, one or more amphoteric surfactants, one or more anionic surfactants, and combinations thereof.