The newspaper said talks for a new contract have failed. Without the income from Deutsche Telekom, NSN Services will have to shut down at the end of 2013, affecting 1,000 jobs, it said.
NSN declined to comment. Telephone calls to Deutsche Telekom late on Monday were not answered.
NSN, a 50-50 joint venture between Nokia Oyj and Siemens AG, is carrying out a cost-cutting plan, which includes laying off a quarter of its staff and selling product lines to focus on mobile broadband.
On Monday, it said it was selling its optical fiber unit to Marlin Equity Partners, resulting in the transfer of up to 1,900 employees, mainly in Germany and Portugal.