The EU Commissioner for the Digital Economy, Guenther Oettinger, said: "There are solid grounds for us to activate the rule of law mechanism and put Warsaw under monitoring."
Polish MPs have approved a law giving the government direct control over top appointments in public broadcasting. It undermines free speech, critics say.
In an interview with Germany`s Frankfurter Allgemeine Zeitung (FAZ) newspaper, Mr Oettinger said he would raise the Polish media law issue at a meeting of the Commission on 13 January.
Under the EU`s rule of law mechanism, adopted last year, the Commission can escalate pressure on a member state to amend any measure that is considered a "systemic threat" to fundamental EU values.
In the last resort, a state`s voting rights in the EU Council - where government ministers shape EU policy - can be suspended. The Commission is the EU`s top regulator, enforcing EU treaties.
On Saturday the directors of four channels of TVP - Poland`s public service television - resigned in protest at the new law.
The Polish news website Dziennik named them as: Piotr Radziszewski (TVP1), Jerzy Kapuscinski (TVP2), Katarzyna Janowska (TVP Kultura) and Tomasz Sygut (Television Information Agency).
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