An anode-limited battery and method of assembly are provided in which a lithium anode subassembly is constructed from two pieces of lithium foil. An elongated thicker piece of lithium foil is cohesively bonded at one end to a shorter, thinner piece of lithium foil. An optional current collector stabilizes the area of the cohesive bond. The thicker lithium foil forms the inner windings of a coiled electrode, which face reactive cathode material on both sides. The thinner foil forms the outermost winding, which faces reactive cathode material on only one side. Thus, an appropriate amount of lithium is available for cathode discharge. The method of electrode assembly allows a narrow tolerance of the lithium anode such that the benefits of an anode-limited cell may be realized.