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<PAGE> EXHIBIT 23.1 INDEPENDENT AUDITORS' CONSENT We consent to the use in this Amendment No. 2 to Registration Statement No. 333-46362 of Tellium, Inc. of our report dated April 28, 2000 (November 6, 2000 as to Note 12) appearing in the Prospectus, which is a part of such Registration Statement, and to the reference to us under the headings "Selected Financial Data" and "Experts" in such Prospectus. /s/ Deloitte & Touche LLP Parsippany, New Jersey November 7, 2000
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