A source told AppleInsider that "Loewe has been advised by its financial adviser to accept the offer and a final decision is scheduled to be announced before May 18th".
According to the report, Apple is offering €87.3m ($112m) for the German TV company, which was founded in 1929 and now employs 1000 people in 50 countries.
Sales fell 11% in 2011, resulting in a loss of €10.5m. Shares in Loewe jumped 30% this morning following news of the rumour.
Given both companies' premium product ranges, a deal would seem logical. Loewe has already developed the AirPlay-enabled SoundBox dock, so has some experience of Apple technology.
Apple has refused to comment on the story, but Loewe has issued this short statement: "Loewe maintains sales relationships with Apple in Europe for the successfully launched AirSpeaker. Also Loewe extends through the Apple iPad the functionality of Loewe televisions.
"However, the Loewe management has currently no information that Apple wants to participate financially in the company."