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Lyft could list on Nasdaq by late March, says the Wall Street Journal.

Ride sharing company Lyft Inc. might list shares on Nasdaq by the end of next month, according to a report from the Wall Street Journal, citing sources with knowledge of the coming IPO.

TheStreet could not confirm the report, however, as the company declined to talk about the matter; the Journal also said the company could make its filing public by the end of February. 

"We are declining to comment," Lyft spokesperson Alexandra LaMann told TheStreet in an email. 

Lyft and larger rival Uber have been racing each other to go public, and Lyft is now ahead in the race, according to another report by Reuters.

Both news services say Lyft could launch its investor-pitching roadshow next month, too, with Reuters pinning down the roadshow date to the week of March 18.

Lyft, which only operates in the U.S., is valued at between $20 billion and $30 billion, according to an earlier Reuters report from Feb. 15. That's far less than the much bigger Uber, which has global operations and could be worth as much as a $120 billion valuation.

In December, Lyft revealed that it had submitted paperwork with the Securities and Exchange Commission for its proposed initial public offering. The company did not provide the number of shares to be listed, or their price targets.