The flight -- 6E 724 -- which took off from the Dabolim airport for New Delhi at 5.50 pm, returned soon to the airport after its pilot reported the oil-pressure problem in one of the engines of the Airbus 320 aircraft, the source added.
IndiGo confirmed the incident and said it had been reported to the aviation regulator, the Directorate General of Civil Aviation (DGCA).
The aircraft was carrying 182 passengers and three infants on board, it added.
The flight crew carried out the required procedure and the aircraft landed safely back at Goa, the airline said.
The matter was reported to the DGCA, it said, adding that the incident was also being probed by the airline's safety department.