NUVEEN MONEY MARKET TRUST
485BPOS, EX-99.I, 2000-06-28
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                          Morgan, Lewis & Bockius LLP
                              1800 M Street, N.W.
                            Washington, D.C. 20036


June 28, 2000


Nuveen Money Market Trust
333 West Wacker Drive
Chicago, Illinois 60606

Re:       Opinion of Counsel regarding Post-Effective Amendment No. 3 to the
          Registration Statement filed on Form N-1A under the Securities Act
          of 1933 (File No. 333-74835).

Ladies and Gentlemen:

     We have acted as counsel for Nuveen Money Market Trust, a Massachusetts
business trust (the "Fund"), in connection with the above-referenced
Registration Statement on Form N-1A (as amended, the "Registration Statement")
which relates to the Fund's Shares of Beneficial Interest (the "Shares"). This
opinion is being delivered to you in connection with the Fund's filing of
Post-Effective Amendment No. 3 to the Registration Statement (the "Amendment")
to be filed with the Securities and Exchange Commission on or about June 28,
2000, pursuant to Rule 485(b) under the Securities Act of 1933 (the "1933 Act").
With your permission, all assumptions and statements of reliance herein have
been made without any independent investigation or verification on our part
except to the extent otherwise expressly stated, and we express no opinion with
respect to the subject matter or accuracy or such assumptions or items relied
upon.

     In connection with this opinion, we have reviewed, among other things,
executed copies of the following documents:

     (a)  a certificate of the Secretary of the Commonwealth of Massachusetts as
          to the existence of the Fund;

     (b)  copies, certified by the Secretary of State of the Commonwealth of
          Massachusetts, of the Fund's Declaration of Trust and of all
          amendments thereto on file with the office of the Secretary of State
          (the "Declaration");

     (c)  a certificate executed by Virginia L. O'Neal, an Assistant Secretary
          of the Fund, certifying as to, and attaching copies of, the
          Declaration and the By-Laws, and certain resolutions adopted by the
          Board of Trustees of the Fund authorizing the issuance of the Shares;
          and

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Nuveen Money Market Trust
June 28, 2000
Page 2


     (d)  a printer's proof, dated June 28, 2000 of the Amendment.

     In our capacity as counsel to the Fund, we have examined the originals, or
certified, conformed or reproduced copies, of all records, agreements,
instruments and documents as we have deemed relevant or necessary as the basis
for the opinions hereinafter expressed. In all such examinations, we have
assumed the legal capacity of all natural persons executing documents, the
genuineness of all signatures, the authenticity of all original or certified
copies, and the conformity to original or certified copies of all copies
submitted to us as conformed or reproduced copies. As to various questions of
fact relevant to such opinion, we have relied upon, and assume the accuracy of,
certificates and oral or written statements of public officials and officers or
representatives of the Fund. We have assumed that the Registration Statement, as
filed with the Securities and Exchange Commission, will be in substantially the
form of the printer's proof referred to in paragraph (d) above.

     Based upon, and subject to, the limitations set forth herein, we are of the
opinion that the Shares, when issued and sold in accordance with the Fund's
Declaration and By-Laws, and for the consideration described in the Registration
Statement, will be legally issued, fully paid and non-assessable, except that,
as set forth in the Registration Statement, shareholders of the Fund may, under
certain circumstances, be held personally liable for its obligations.

     The opinion expressed herein is limited to the laws of the Commonwealth of
Massachusetts.

     We hereby consent to the filing of this opinion as an exhibit to the
Registration Statement. In giving this consent, we do not admit that we are in
the category of persons whose consent is required under Section 7 of the 1933
Act.

Very truly yours,

/s/ Morgan, Lewis & Bockius LLP



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