The probe should have an "antenna factor" supplied by the manufacturer that will give you the conversion between measured voltage and field strength over frequency. Typically the AF will be supplied in dB and will be added to the measured voltage in dBuV to get dBuV/m. It's important to note, however, that the presence of the near-field probe influences the field, and the corrected field strength is going to be somewhat approximate. Even EMI measurements have this problem at low frequencies--the field "measured" by the antenna is not necessarily the actual field strength.
The probe may also be sensitive to polarization, depending on the design.