A small amount of variation from a motors rated speed isn’t really an issue. However, if an induction motor is rotated at a speed higher than its rated speed, it will experience a significant decrease in torque due to a reduction in the magnetic flux within the motir, potentially causing the motor to overheat; this is because the motor's design is optimised for operating within its rated speed range, and exceeding that limit can lead to issues with current draw and overall performance.
Lower than rated speed can also cause issues with cooling due to the fan not pushing enough air over the motor fins leading to the motor over heating.
I think your plan is likely to head to problems.