* Deal may be announced this week, perhaps Monday -sources
* Koch brothers are two of the world's richest men (Recasts lead, adds background on the companies)
Nov 26 (Reuters) - U.S. media company Meredith Corp is nearing a deal backed by conservative billionaire brothers Charles and David Koch to buy Time Inc, publisher of Sports Illustrated and Fortune magazines, for about $2 billion, people familiar with the matter said on Sunday.
The deal would be a coup for Meredith, which held unsuccessful talks to buy Time earlier this year and in 2013.
It would give news, business and sports brands to the Des Moines, Iowa-based publisher and broadcaster, which owns lifestyle magazines such as Better Homes & Gardens and Family Circle. Analysts have said that bulking up on publishing assets could give Meredith the scale required to spin off its broadcasting arm into a standalone company.
A unit of Koch Industries has been backing Meredith's bid with $600 million in financing, sources previously told Reuters. It is not clear how much influence the Koch brothers would have over the company. The Koch brothers are two of the world's richest men through their ownership of Koch Industries, a sprawling industrial empire that manufactures such products as Brawny paper towels, Dixie Cups and Lycra.
The Kochs, known for their advocacy of conservative policies and influence on some quarters of the Republican Party, had previously expressed interest in buying media properties such as the Los Angeles Times and the Chicago Tribune in 2013.
Meredith may announce an agreement to acquire Time as early as this week, the sources said. If the companies can finalize arrangements overnight, the announcement could come on Monday, one of the sources added.
The sources, who spoke on condition of anonymity because the matter is confidential, cautioned that the talks could collapse at the last minute without a deal. Meredith, Time and a representative for Koch Industries did not immediately respond to requests for comment.
TIME STRUGGLED ON ITS OWN
Time Warner Inc spun off Time, which also publishes the eponymous current affairs magazine, as a standalone company in June 2014. Since then, New York-based Time has struggled in an industry-wide decline in print media, as circulation shrinks and advertisers shift to digital platforms.
Meredith, which has a capitalization of $2.7 billion, tried to merge with Richmond, Virginia-based broadcaster Media General in 2015, but Nexstar Media Group Inc ended up acquiring that company for $4.6 billion.
Time shares ended trading on Friday at $16.90, giving the company a market capitalization of $1.7 billion.
Time, led by Chief Executive Rich Battista, has been undergoing a strategic plan that includes revamping its cost structure and focusing on its digital business. It has been exploring a sale of several magazines titles, such as Coastal Living, Sunset and Golf and a majority stake in Essence as well as Time Inc UK.
The assets it had earmarked for a potential sale represented about $488 million in revenue for the year ended June 30, the company has said.
In September, it named its former digital editor, Edward Felsenthal, to be the new editor in chief of Time Magazine. It has also expanded into streaming video channels, launching Sports Illustrated TV through Amazon earlier this month.
Time said earlier in November that in the third quarter, its total revenue slipped 9.5 percent to $679 million, missing analysts' estimates of $693.5 million, according to Thomson Reuters I/B/E/S. It marked the sixth straight quarter the company had missed expectations for revenue.
The magazine industry has been consolidating for several years. Men's Health magazine publisher Rodale said it would sell itself to larger rival Hearst last month. Wenner Media, the owner of Rolling Stone, said in September it was exploring a sale of the music magazine.
(Reporting by Liana B. Baker and Greg Roumeliotis in New York; Editing by Lisa Von Ahn and Will Dunham)