Unilife (UNIFF) 10-Q 2013 Q1 Quarterly report

Exhibit 32.2

Certification of Chief Financial Officer pursuant to 18 U.S.C. Section 1350, as adopted

pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

In connection with the quarterly report of Unilife Corporation (the “Company”) on Form 10-Q for the quarterly period ended September 30, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, R. Richard Wieland II, Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to my knowledge:

(1) the Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

(2) the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: November 8, 2012

/s/ R. Richard Wieland II

Name: R. Richard Wieland II

Title: Chief Financial Officer