SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D.C. 20549

                                  -------------

                                  SCHEDULE 13D*
                                 (Rule 13d-101)

             INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT
            TO RULE 13d-1(a) AND AMENDMENTS THERETO FILED PURSUANT TO
                                  RULE 13d-2(a)

                    Under the Securities Exchange Act of 1934
                              (Amendment No. 6)(1)

                              Convergys Corporation
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                                (Name of Issuer)

                           Common Stock, No Par Value
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                         (Title of Class of Securities)

                                    212485106
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                                 (CUSIP Number)

                              Marc Weingarten, Esq.
                            Schulte Roth & Zabel LLP
                                919 Third Avenue
                            New York, New York 10022
                                 (212) 756-2000
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                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                  June 1, 2009
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                          (Date of Event which Requires
                            Filing of This Statement)



         If the filing person has previously filed a statement on Schedule 13G
to report the acquisition that is the subject of this Schedule 13D, and is
filing this schedule because of Rule 13d-1(e), 13d-1(f) or 13d-1(g), check the
following box. [ ]

         NOTE: Schedules filed in paper format shall include a signed original
and five copies of the schedule, including all exhibits. See Rule 13d-7 for
other parties to whom copies are to be sent.

                         (Continued on following pages)

                               (Page 1 of 5 Pages)

--------------------------

(1) The remainder of this cover page shall be filled out for a reporting
person's initial filing on this form with respect to the subject class of
securities, and for any subsequent amendment containing information which would
alter disclosures provided in a prior cover page.

   The information required on the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes)




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CUSIP NO.      212485106           SCHEDULE 13D/A           PAGE 2 OF 5 PAGES
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    1       NAME OF REPORTING PERSON
            I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY)

            JANA PARTNERS LLC
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    2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*       (a) [ ]
                                                                    (b) [ ]

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    3       SEC USE ONLY

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    4       SOURCE OF FUNDS*

            AF
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    5       CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT
            TO ITEM 2(d) or 2(e)                                         [ ]

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    6       CITIZENSHIP OR PLACE OF ORGANIZATION

            Delaware
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                         7      SOLE VOTING POWER

                                10,577,775 (excluding 18,377 time-based
                                restricted stock units)
                      ---------------------------------------------------------
 NUMBER OF               8      SHARED VOTING POWER
 SHARES
BENEFICIALLY                    -0-
  OWNED BY            ---------------------------------------------------------
    EACH                 9      SOLE DISPOSITIVE POWER
 REPORTING
PERSON WITH                      10,577,775 (excluding 18,377 time-based
                                restricted stock units)
                      ---------------------------------------------------------
                         10     SHARED DISPOSITIVE POWER

                                -0-
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    11      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH PERSON

                                10,577,775 (excluding 18,377 time-based
                                restricted stock units)

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    12      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
            CERTAIN SHARES*
                                                                        [ ]
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    13      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

            8.6%
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    14      TYPE OF REPORTING PERSON*
            IA
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                     * SEE INSTRUCTIONS BEFORE FILLING OUT!






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CUSIP NO.      212485106           SCHEDULE 13D/A           PAGE 3 OF 5 PAGES
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       The Schedule 13D filed on July 25, 2008(the "Schedule 13D), as amended by
Amendment No. 1 filed on August 27, 2008, Amendment No. 2 filed on September 17,
2008, Amendment No. 3 filed on October 20, 2008, Amendment No. 4 filed on
February 5, 2009, and Amendment No. 5 filed on May 6, 2009 by JANA Partners LLC,
a Delaware limited liability company (the "Reporting Person"), relating to the
shares ("Shares") of common stock, no par value, of Convergys Corporation, an
Ohio corporation (the "Issuer"), is hereby amended as set forth below by this
Amendment No. 6 to the Schedule 13D.

Item 3.       Source and Amount of Funds or Other Consideration.

Item 3 of the Schedule 13D is hereby amended and restated as follows:

       The 10,577,775 Shares (excluding 18,377 time-based restricted stock
units) reported herein by the Reporting Person were acquired at an aggregate
purchase price of approximately $149.8 million. The Shares beneficially owned by
the Reporting Person were acquired with investment funds in accounts under
management.

Item 5.       Interest in Securities of the Company.

Paragraphs (a), (b) and (c) of Item 5 of the Schedule 13D are hereby amended and
restated as follows:

        (a) The aggregate percentage of Shares reported to be beneficially owned
by the Reporting Person is based upon 122,675,559 Shares outstanding, which is
the total number of Shares outstanding as of March 31, 2009 as reported in the
Issuer's Quarterly Report on Form 10-Q filed on May 5, 2009 for the period ended
March 31, 2009.

       As of the close of business on June 5, 2009, the Reporting Person may be
deemed to beneficially own 10,577,775 Shares (excluding 18,377 time-based
restricted stock units) constituting approximately 8.6% of the Shares
outstanding.

        (b) The Reporting Person has sole voting and dispositive powers over the
10,577,775 Shares (excluding 18,377 time-based restricted stock units), which
powers are exercised by the Principals.





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CUSIP NO.      212485106           SCHEDULE 13D/A           PAGE 4 OF 5 PAGES
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        (c) Information concerning transactions in the Shares effected by the
Reporting Person since the filing of Amendment No. 5 to this Schedule 13D is set
forth in the table below. All of the transactions in Shares listed hereto were
effected in open market purchases on the New York Stock Exchange through various
brokerage entities.

Date of Transaction           Shares Purchased (Sold)   Price Per Share ($)
-------------------           -----------------------   -------------------

          5/28/2009                  (361,139)                $9.03
          5/28/2009                   (20,000)                $9.04
          5/28/2009                  (237,544)                $9.13
          5/28/2009                      (320)                $9.34
          5/29/2009                  (245,906)                $9.02
          5/29/2009                   (35,700)                $9.03
          5/29/2009                    (2,022)                $9.08
          5/29/2009                   (16,600)                $9.22
           6/1/2009                   (25,000)                $9.18
           6/1/2009                  (100,000)                $9.21
           6/1/2009                  (358,606)                $9.29
           6/1/2009                   (54,900)                $9.31








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CUSIP NO.      212485106          SCHEDULE 13D/A            PAGE 5 OF 5 PAGES
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                                   SIGNATURES

        After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.



Dated:  June 3, 2009



                                             JANA PARTNERS LLC

                                             By: /s/ Jennifer Fanjiang
                                             -------------------------
                                             Name: Jennifer Fanjiang
                                             Title: Deputy General Counsel