Exhibit 24.1

                            LIMITED POWER OF ATTORNEY
                           FOR SECTION 16(a) REPORTING

        KNOW ALL PERSONS BY THESE PRESENTS, that the undersigned hereby makes,
constitutes and appoints Kevin Campbell and Stephanie Walters, as the
undersigned's true and lawful attorney-in-fact (the "Attorney-in-Fact"), with
full power of substitution and resubstitution, with the power to act alone for
the undersigned and in the undersigned's name, place and stead, in any and all
capacities to:

   1.   prepare, execute and file with the Securities and Exchange Commission
        (the "SEC"), any national securities exchange or securities quotation
        system and Unilife Corporation (the "Company"), any and all reports
        (including any amendment thereto) of the undersigned required or
        considered advisable under Section 16(a) ("Section 16(a)") of the
        Securities Exchange Act of 1934, as amended (the "Exchange Act"), and
        the rules and regulations thereunder, with respect to the equity
        securities of the Company, including Forms 3, 4 and 5 in accordance
        with Section 16(a);

   2.   obtain, as the undersigned's representative and on the undersigned's
        behalf, information regarding transactions in the Company's equity
        securities from any third party, including the Company and any
        brokers, dealers, employee benefit plan administrators and trustees,
        and the undersigned hereby authorizes any such third party to release
        any such information to the Attorney-in-Fact;

   3.   do and perform any and all acts for and on behalf of the undersigned
        which may be necessary or desirable to complete and execute any Form
        3, 4, or 5 in accordance with Section 16(a), complete and execute any
        amendment or amendments thereto, and timely file such form with the
        SEC and any stock exchange or similar authority; and

   4.   take any other action of any type whatsoever in connection with the
        foregoing which, in the opinion of such Attorney-in-Fact, may be of
        benefit to, in the best interest of, or legally required by, the
        undersigned, it being understood that the documents executed by the
        Attorney-in-Fact on behalf of the undersigned pursuant to this Limited
        Power of Attorney shall be in such form and shall contain such terms
        and conditions as the Attorney-in-Fact may approve in his or her
        discretion.

The undersigned acknowledges that:

   1.   this Limited Power of Attorney authorizes, but does not require, the
        Attorney-in-Fact to act at his or her discretion on information
        provided to such Attorney-in-Fact without independent verification of
        such information;

   2.   any documents prepared or executed by the Attorney-in-Fact on behalf
        of the undersigned pursuant to this Limited Power of Attorney will be
        in such form and will contain such information as the
        Attorney-in-Fact, in his or her discretion, deems necessary or
        desirable;

   3.   neither the Company nor the Attorney-in-Fact assumes any liability for
        the undersigned's responsibility to comply with the requirements of
        Section 16 of the Exchange Act, any liability of the undersigned for
        any failure to comply with such requirements, or any liability of the
        undersigned for disgorgement of profits under Section 16(b) of the
        Exchange Act; and

   4.   this Limited Power of Attorney does not relieve the undersigned from
        responsibility for compliance with the undersigned's obligations under
        Section 16 of the Exchange Act, including, without limitation, the
        reporting requirements under Section 16(a).

The undersigned hereby grants to the Attorney-in-Fact full power and authority
to do and perform each and every act and thing requisite, necessary or
convenient to be done in connection with the foregoing, as fully, to all intents
and purposes, as the undersigned might or could do in person, hereby ratifying
and confirming all that the Attorney-in-Fact, or his or her substitute or
substitutes, shall lawfully do or cause to be done by authority of this Limited
Power of Attorney.

This Limited Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 or 5 in accordance with
Section 16(a) with respect to the undersigned's transactions in equity
securities of the Company, unless earlier revoked by the undersigned in a signed
writing delivered to the Attorney-in-Fact.

IN WITNESS WHEREOF, the undersigned has executed this Limited Power of Attorney
as of August 8, 2016.

                                        By: /s/ Molly Weaver
                                           ------------------------------------
                                        Name: Molly Weaver