EXHIBIT 99.1
 
                    QWEST COMMUNICATIONS INTERNATIONAL INC.
 
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                   PROXY FOR SPECIAL MEETING OF STOCKHOLDERS
                            
                         TO BE HELD JUNE 5, 1998     
 
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          THIS PROXY IS SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS
   
  The undersigned hereby appoints Joseph P. Nacchio and Robert S. Woodruff,
officers of Qwest Communications International Inc. (the "Company"), with full
power of substitution, his or her proxy to represent and vote, as designated
below, all shares of the Company registered in the name of the undersigned,
with the powers the undersigned would possess if personally present at the
Company's Special Meeting of Stockholders to be held at 10:00 a.m., local
time, on Friday, June 5, 1998 at the Hyatt Regency Denver, Hyatt Conference
Center, 1750 Welton Street, Denver, Colorado and at any postponement,
continuation or adjournment thereof, hereby revoking all proxies previously
given with respect to the Special Meeting.     
   
1. Approval of the issuance (the "Qwest Share Issuance") of Qwest common
   stock, par value $.01 per share (the "Qwest Common Stock"), pursuant to an
   Agreement and Plan of Merger dated as of March 8, 1998, as the same may be
   amended from time to time (the "Merger Agreement"), by and among Qwest,
   Qwest 1998-L Acquisition Corp., a wholly owned subsidiary of Qwest, and LCI
   International, Inc.     
 
                    [_] FOR     [_] AGAINST     [_] ABSTAIN
 
  THE BOARD OF DIRECTORS RECOMMENDS THAT YOU VOTE "FOR" THE PROPOSAL
 
2. To consider and vote upon a proposal to amend Qwest's Amended and Restated
   Certificate of Incorporation to increase the number of authorized shares of
   Qwest Common Stock from 400,000,000 shares to 600,000,000 shares (the
   "Qwest Certificate Amendment").
 
                    [_] FOR     [_] AGAINST     [_] ABSTAIN
  THE BOARD OF DIRECTORS RECOMMENDS THAT YOU VOTE "FOR" THE PROPOSAL
 
THIS PROXY WHEN PROPERLY EXECUTED WILL BE VOTED AS DIRECTED HEREIN, OR IF NO
DIRECTION IS GIVEN, WILL BE VOTED IN FAVOR OF THE APPROVAL OF THE QWEST SHARE
ISSUANCE AND THE QWEST CERTIFICATE AMENDMENT.
 
                                          Date:      , 1998
 
                                          _____________________________________
                                          Signature
 
                                          _____________________________________
                                          Signature if held jointly
 
                                          PLEASE DATE AND SIGN ABOVE exactly
                                          as name(s) appear on your share
                                          certificate, and return this proxy
                                          promptly in the envelope provided.
                                          Executors, administrators, trustees,
                                          guardians, etc., should indicate
                                          capacity when signing. For stock
                                          held in joint tenancy, each joint
                                          owner should sign.
 
              [_] PLEASE CHECK IF YOU PLAN TO ATTEND THE MEETING