Time Inc. is said to be in talks to sell itself to the Meredith Corporation, in a deal backed by Charles G. and David H. Koch, the billionaire brothers known for supporting conservative causes.

Talks between Time Inc., the publisher of Time and People, and Meredith, the publisher of Family Circle and Better Homes and Gardens, fizzled this year. The new round of negotiations, motivated by the surprise entry of the Kochs, could lead to a quick deal, according to people involved in the discussions.

The Kochs have tentatively agreed to back Meredith’s offer with an equity injection of more than $500 million, the people with knowledge of the talks said. A spokesman for the brothers’ business, Koch Industries, declined to comment on Wednesday.