A method for unwinding tacky elastomeric yarn from one or multiple coiled yarn packages includes the steps of (a) removing tubular cores from each yarn package to expose the beginning end of the yarn strand at the inner diameter of the yarn package; (b) forming a terminal end of the yarn strand at a position along the length of the strand between the inner diameter and outer diameter of the yarn package; (c) when unwinding multiple coiled yarn packages, attaching the terminal end of the first yarn package to a beginning end of a next yarn package; and (d) unwinding by pulling the beginning end of the first yarn package in a generally axial direction to remove yarn from the inside of the package from the inner diameter toward the outer diameter. This method provides inside-out unwinding of a single package, or continuous unwinding of multiple packages of elastomeric yarn at a reduced overall yarn tension, and minimizes unwinding tension spikes.