An injection-locking scheme, involving a singlefrequency master laser monolithically integrated with a unidirectional whistle-geometry semiconductor microring laser, has been proposed for enhanced ultra-high-speed performance. Greatly enhanced high-speed modulation performance of the strong-injection-locking scheme has been predicted in numerical calculations. In our previous analysis, however, linear coupling between the two counter-propagating modes due to light backscattering was not taken into account. In this work, we investigate the potential negative impact of light backscattering between the two counter-propagating modes on high-speed modulation performance of strongly injection-locked unidirectional whistle-geometry semiconductor microring lasers.