To fight against losing more money, Lyft is said to be preparing a report that would hopefully convince investors that Lyft won't stay in the red zone for too long, while investors still holding interest in Lyft and Uber are focusing on the future potential of these companies.
Both companies stand to benefit from Lyft joining the public markets first.
As for SoftBank's investment in Uber specifically, the company is expected to nearly double its investment when Uber goes public in the coming months.
The investment talks come as Uber is racing towards a public listing, with an IPO expected in the coming months.
However, in going out so close together, the companies risk testing the limits of investors' interest in ride-sharing.
Waymo said this month that it would sell a key innovation to companies that don't compete with its autonomous cars.
Dara Khosrowshahi, chief executive officer of Uber, has previously said a culture change is a work in progress.
Uber, which previous year lost about $3.3 billion, is betting on a transition to self-driving cars to eliminate the need to pay drivers.
Lyft's revenue for previous year was $US2.2 billion, with $US8.1 billion in gross ride bookings.
Uber will have the challenge of explaining and selling to investors a business that is more complex and less focused than Lyft's.
It operates in more than 70 countries and includes ride-hailing, bike and scooter rentals, freight hauling, food delivery and a self-driving vehicle division.
A group of investors led by SoftBank Group Corp and Toyota Motor Corp is in talks to invest $1 billion (£753.9 million) or more into Uber Technologies Inc's self-driving vehicle unit, which would value the unit at $5 billion to $10 billion, said two people familiar with the talks.
Those have included sexual harassment allegations, a massive data breach that was concealed from regulators, use of illicit software to evade authorities and allegations of bribery overseas.