Why are You trying to use a TL081, ( or any Op-Amp in that family ), and running it on ~9-Volts ???
If You have any concern at all about Clipping,
and Your Pre-Amp is not being used as a "Distortion-Effect",
You should be using a modern Rail-to-Rail-Op-Amp, or an ~18-Volt-Supply, or both.
Then Clipping is not even a consideration,
except in the Input-Circuitry of the poor unfortunate equipment that follows this Pre-Amp,
and, at that point You would be running at Voltage-Levels that are far above "Line-Level".
All Guitar-Distortion-Effects are intentionally Asymmetrical, always.
Here's a good place for Effects ............
.
.
.
If You have any concern at all about Clipping,
and Your Pre-Amp is not being used as a "Distortion-Effect",
You should be using a modern Rail-to-Rail-Op-Amp, or an ~18-Volt-Supply, or both.
Then Clipping is not even a consideration,
except in the Input-Circuitry of the poor unfortunate equipment that follows this Pre-Amp,
and, at that point You would be running at Voltage-Levels that are far above "Line-Level".
All Guitar-Distortion-Effects are intentionally Asymmetrical, always.
Here's a good place for Effects ............
.
.
.