  Based on its energy-dependent morphology the initially unidentified very high
energy (VHE; E>100 GeV) gamma-ray source HESS J1303-631 was recently associated
with the pulsar PSR J1301-6305. Subsequent detection of X-ray and GeV
counterparts also supports the identification of the H.E.S.S. source as evolved
pulsar wind nebula (PWN). We report here on recent radio observations of the
PSR J1301-6305 field of view (FOV) with ATCA dedicated to search for the radio
counterpart of this evolved PWN. Observations at 5.5 GHz and 7.5 GHz do not
reveal any extended emission associated with the pulsar. The analysis of the
archival 1.384 GHz and 2.368 GHz data also does not show any significant
emission. The 1.384 GHz data reveal a hint of an extended shell-like emission
in the PSR J1301-6305 FOV which might be a supernova remnant. We discuss the
implications of the non-detection at radio wavelengths on the nature and
evolution of the PWN as well as the possibility of the SNR candidate being the
birth place of PSR J1301-6305.
