Induction machines are asynchronous and typically run at 95-97% of synchronous speed (3-5% slip) at rated load in your power range, so if your motor is of decent build quality (bearings, cooling etc.), all you need to do is find a VFD that can put out its nameplate voltage and 120% of its nameplate supply frequency + maybe a little extra to make up for slip.
In order for the motor to be able to produce its rated torque, you would need to maintain the ratio of the supply voltage to frequency given on its nameplate - a 20% increase in supply frequency should be accompanied by a 20% increase in supply voltage etc. If your motor design follows a
NEMA standard, it can tolerate a 10% increase in supply voltage, if I recall correctly, but not knowing more about your motor, I wouldn't recommend messing with its supply voltage.
If you increase the supply frequency of an induction motor without increasing its supply voltage, its effective torque rating decreases. The slip of the motor is a function of how much torque it's putting out, so if its slip under full load is much larger than when running under rated conditions, you might be near its breakdown torque, which is not good.