It looks like crossover distortion, not slew rate limiting.
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The waveform in your picture (3.2V pk-pk @80KHz) nrrds a slew rate of less than 1V/us and OPA4137 is typically capable of 3.5V/us, so that shouldn't be a problem.
OTOH, OPA4137's GBW is only about 1MHz so in your circuit @80KHz, the loop gain is only about 6. I.e. there's very little feedback available to correct distortion.
You can probably get a much better waveform if you bias the opamp's output stage into class A by connecting a resistor between the output and one of the supply rails.