(REUTERS) -- Research In Motion is on the verge of stripping its co-chief executives of their other shared role as chairman of the board, a Canadian newspaper reported on Tuesday, citing unidentified sources.

Shares in the company that makes the BlackBerry smartphone jumped six percent in morning trade on a National Post report that Barbara Stymiest, currently an independent member of RIM's board, is leading the race to replace the pair in the chairmanship.

The Waterloo, Ontario-based company in June agreed to study its unusual corporate structure and report back to investors by the end of January, narrowly avoiding a vote of confidence at RIM's last annual meeting.

Stymiest, a former chief operating officer at Royal Bank of Canada and ex-CEO of the Toronto Stock Exchange, joined the RIM board in 2007.

RIM could not be reached immediately for comment

(Reporting by Alastair Sharp in Toronto and Sinead Carew in New York; Editing by Frank McGurty)