Binary compact objects early in their inspiral phase will be picked up through their nearly monochromatic gravitational radiation by LISA. But even this innocuous appearing candidate poses interesting detection challenges. The data that will be scanned for such sources will be a set of four functions of LISA's six data streams obtained through time-delay interferometry, which is necessary to cancel the contribution of the laser frequency noise to these data streams. We call these four functions pseudo-strains. The sensitivity of any pseudo-strain to a given sky position is a function of LISA's orbital position. Moreover, at a given point in LISA's orbit, each pseudo-strain has a different sensitivity to the same sky position. In this work, we solve the problem of obtaining the optimal combination of these pseudo-strains as a function of sky position and LISA's orbital position.