Owing to the unique electronic spin properties, the nitrogen-vacancy (NV) centers hosted in diamond have emerged as a powerful quantum sensor for various physical parameters and biological species. In this work, a miniature optical-fiber quantum probe, configured by chemically-modifying nanodiamonds NV centers on the surface of a cone fiber tip, is developed. Based on continue-wave optically detected magnetic resonance method and lock-in amplifying technique, it is found that the sensing performance of the probe can be engineered by varying the nanodiamonds dispersion concentration and modification duration in the chemical modification process. Combined with a pair of magnetic flux concentrators, the magnetic field detection sensitivity of the probe is significantly enhanced to 0.57 nT/Hz 1/2 @ 1Hz, a new record among the fiber magnetometers based on nanodiamonds NV. Taking Gd 3+ as the demo, the capability of the probe in paramagnetic species detection is also demonstrated experimentally. Our work provides a new approach to develop NV center as quantum probe featuring high integration, miniature size, multifunction, and high sensitivity, etc.