She wanted to know if the government was concerned that Ten Network's Sunday political program "Meet the Press" had been "contracted out to News Limited".
"If the senator is aware of any breaches of exiting laws or rules they should refer them," Senator Conroy told the upper house on Monday.
"As to whether or not he (Lachlan Murdoch) is influencing Channel 10, clearly as chair he has a role to play," Senator Conroy said.
"But in terms of the combined interests, if the senator believes if there is any matter that needs to be looked at she should refer it to the proper authorities."
The Labor government is so far playing down expectations cabinet will discuss a proposed package of measures when it meets in Canberra on Monday evening.
At issue are a code of ethics for journalists, a tort of privacy, increased Australian content rules and changes to media ownership in a single market.
Senator Conroy said the government is considering all of the recommendations in the Finkelstein inquiry.
"At this stage we will not be pre-empting cabinet considerations," he said."