Sources familiar with the matter say that Apollo Global Management has held discussions about financing a potential takeover of the micro-messaging service.

The people who asked not to be named said Apollo isn't interested in being part of a private equity consortium that acquires the social media company. One of the people said preferred equity would likely be the type of financing Apollo provides.

Last week, Musk offered to buy the social network for $43 billion. According to a Wall Street Journal report, the board is likely to reject that offer. Sources of financing are considering their willingness to lend to Musk or another potential buyer. It's unusual for a company to have negative cash flow last year.

Apoison pill is a shareholder rights plan adopted by a company to ward off a hostile takeover. Musk suggested on the next day that he might make a tender offer to buy the shares of the company.