Allow me to explain a bit further.
Jesus' humility did not come from any consciousness of sin - simply from the consciousness that apart from His Father, He could do nothing.
True Humility in a redeemed saint, a new creature in Christ, need not come from consciousness of sin either. Rather, it comes from the increased awareness that within ourselves no goodness or righteousness originates. We become aware through the mind of Christ that "apart from Him we can do nothing."
As we receive the mind of Christ, we begin to see that all things are FROM Him, THROUGH Him, and UNTO Him. This awareness is what produces both Righteousness and Humility simultaneously.
We, the redeemed, being transformed into His image and likeness as new creatures are thus enabled to have our consciences cleansed from sin and still be becoming the righteousness of God in Christ.
The Law produces the full knowledge of SIN, but the New and Living Way opened to us through Christ's body so thoroughly cleanses our consciences of sin that we can approach the throne of grace boldly - knowing that it is from this throne where Christ is seated at the Father's right hand that all of the righteousness and goodness being worked in us IS OF GOD! This is the true new covenant humility.