According to The Wall Street Journal, a takeover bid from Musk could become more likely after he disclosed he has secured $46.5 billion in financing.
The social media company had adopted a poison pill to fight off a hostile takeover.
The paper said that executives are more likely to try and negotiate now that they are re-examining the bid. The situation is moving fast, but the two sides are going to meet on Sunday to discuss Musk's $43 billion proposal.
The report was not commented on by a Twitter spokesman.
According to reports, the social media giant is still working on estimating its value. The paper said that executives could insist on guarantees if the deal fell through.
The bid was expected to be weighed in on by the company when it reports its latest financial results on Thursday. The deal could be discussed earlier in the week.
According to the report, it's possible that it's open to other bids or that it's negotiating with Musk on certain terms. According to reports, Musk will not change his initial offer.
The Wall Street Journal has a full report.