Chicago media company tronc Inc. said in a public filing Thursday that it would be open to considering a proposal from its second-largest shareholder, Los Angeles billionaire Patrick Soon-Shiong, to buy out the company in order to own its trophy publication, the Los Angeles Times.

In a letter addressed to Soon-Shiong’s counsel, tronc attorney Yosef Reimer of Kirkland & Ellis said the possibility was discussed with Soon-Shiong in December, although the company refused to sell the Times as an individual asset.

“The only way for your client to own the LA Times is to acquire the whole company,” Reimer wrote to John Quinn of Quinn Emmanuel in a letter filed with the Securities and Exchange Commission on Thursday. “And if your client wants to make such a proposal, the board will do its duty and consider it.”

The Culver City-based biotech billionaire owns nearly 24 percent of tronc, slightly less than its top shareholder, Chicago tech entrepreneur Michael Ferro. Both have increased their stakes in tronc over the past few months, appearing to wrestle for control in the wake of Gannett Co.’s failed bid to acquire tronc for $18.75 a share.

Thursday’s letter came a day after Soon-Shiong implied in a letter to tronc, also filed with the SEC, that the company owed him more than 300,000 shares as part of an agreement to license his machine vision technology. Tronc had earlier said that it did not plan to use the technology.