In March, Warner Music offered to purchase EMI for $4.2 billion (3.14 billion EUR), but the bid was rejected.
In May, EMI agreed to be purchased by private equity firm Terra Firma for $4.7 billion (3.5 billion EUR).
Warner Music said if it makes another offer, it will be pre-conditional to obtaining the necessary antitrust clearances.
Warner Music shares lost 23 cents to $16.48 in afternoon trading.
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