Police said the audio clip is two-year-old and they suspect that it was made public to settle some scores with the traffic inspector.
The government regularly pays Internet bills of its offices, police said.
In the audio, which went viral on social media, Pinderjit Singh Riar could be heard demanding over phone the money from a local businessman.
"I will not ask you next time," he is heard telling the person.
Assistant Commissioner of Police (Traffic) Harwinder Singh said the receiver of the telephone call was identified as Manjeet Singh, local businessman.
Notably, in March, state finance minister Manpreet Badal had caught two policemen taking bribe when he was returning in a private car without the red beacon or any escort from Ferozepur after attending a function.