We report the first experimental results and simulations showing efficient laser energy coupling into 9 plasmas at conditions relevant to the MAGnetized Liner Inertial Fusion (MagLIF) concept. In MagLIF, to limit convergence and increase the hydrodynamic stability of the implosion, the fuel must be efficiently pre-heated. To determine the efficiency and physics of pre-heating by a laser, an Ar plasma with n e /n crit ~0.04 is irradiated by a multi-ns, multi-kJ, 0.35 µm, phase-plate-smoothed laser at spot-averaged intensities ranging from 1.0-2.5×10 14 W/cm 2 and pulse widths from 2 to 10 nsec. Time resolved x-ray images of the laser-heated plasma are compared to two-dimensional radiation-hydrodynamic simulations that show agreement with the propagating emission front, a comparison that constrains laser energy deposition to the plasma. The experiments show that long-pulse, modest-intensity (I=1.5×10 14 W/cm 2) beams can efficiently couple energy (~ 82% of the incident energy) to MagLIF-relevant long-length (9.5 mm) underdense plasmas. This is the first demonstration of efficient heating at MagLIF-relevant conditions and is a much higher efficiency than is thought to have been achieved in the first integrated