In sensorless drive of induction motors (IMs), the design of a voltage model (VM) for flux estimation is challenging because of its inherent problems with dc saturation and drift. In the implementation of VM, various strategies have been studied in the flux estimator design. The closed-loop (CL) style flux estimator is a popular scheme owing to its good performance in a wide speed range. However, the CL style suffers from dc drift problems because of an offset at the back electromotive force. Based on the fact that dc drift always persists in the CL style flux estimator, this article proposes an offset extractor (OE) using a parallel structure of two CL style flux estimators. Moreover, a crossover strategy is applied to the comparative flux used in the CL scheme. This strategy guarantees low-speed operation including zero speed. When offset compensation using the proposed OE is applied to the flux estimator in a feedforward manner, the proposed flux estimator exhibits good performance in a wide speed range with robustness to the offset. Compared with the conventional methods, the proposed OE and flux estimator are verified in various situations by simulation and experiment in a sensorless-driven IM.