TORONTO—The leadership upheaval at BlackBerry Ltd. continues under interim Chief Executive John Chen, according to people familiar with the matter.

The smartphone maker's executive vice president in charge of global sales, Rick Costanzo, will be leaving the company by early next year, according to these people. Chris Wormald, who was in charge of BlackBerry's mergers and acquisitions strategy, will be gone by the end of this month, according to one of these people.

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