Embodiments of the invention relate to methods for increasing the recovery of hydrocarbons from a subterranean reservoir. In one embodiment, a method for recovering hydrocarbons from a subterranean reservoir is provided. The method includes positioning a first device into a first horizontal well, injecting a first fluid into the first horizontal well through the first device, producing hydrocarbons from a second horizontal well disposed below the first well, injecting a second fluid into a third well laterally offset from each of the first and second wells to drive fluids in the reservoir toward the second well while continuing to produce hydrocarbons from the second well, and selectively ceasing injection into the first well when the second well is in fluid communication with the third well.