Letter Agreement, dated May 29, 2020, among the Company, Rosehill Operating, the financial institutions party thereto as Lenders and constituting not less than the Required Lenders and JP Morgan

Reference is made to the Forbearance Agreement, dated as of May 4, 2020 (the “Forbearance Agreement”), among Rosehill Resources Inc. (“RRI”), Rosehill Operating Company, LLC (the “Borrower”), the financial institutions party thereto as Consenting Lenders and JPMorgan Chase Bank, N.A., as Issuing Bank and Administrative Agent (in such agency capacity, the “Administrative Agent”). Capitalized terms used in this letter agreement (this “Agreement”) and not otherwise defined herein shall have the meanings ascribed thereto in the Forbearance Agreement.

At the Borrower’s request and subject to its agreement to the terms and conditions of this Agreement, the Administrative Agent and the Consenting Lenders party hereto (which constitute the Required Lenders) hereby consent to and agree that, notwithstanding anything contained in the Forbearance Agreement and the Credit Agreement to the contrary, upon and after the effectiveness of this Agreement, the date range referred to in Section 8(b) of the Forbearance Agreement shall be deemed to be “Within 32 days of the Forbearance Effective Date” instead of “Within 25 days of the Forbearance Effective Date” for all purposes under the Forbearance Agreement (such seven-day period, the “RSA Term Sheet Extension Period”); provided, that, during the RSA Term Sheet Extension Period and at any time thereafter, the Borrower shall apply all settlement payments or other net cash proceeds received in respect of any Swap Agreement (for the avoidance of doubt, after giving effect to customary netting arrangements under such Swap Agreements) to the prepayment of Borrowings then outstanding (to be applied as soon as practicable but, in any event, no later than the next Business Day of receipt of such net cash proceeds and in accordance with Section 3.04(c)(iv) of the Credit Agreement).

The effectiveness of this Agreement is subject to the receipt by the Administrative Agent of (i) a counterpart of this Agreement, executed and delivered by the Borrower, RRI, the Administrative Agent, and the Consenting Lenders, and (ii) such other information regarding the operations, business affairs and financial condition of the Borrower and such other certificates, documents, instruments and agreements as the Administrative Agent or any Lender shall request in connection with the transactions contemplated by this Agreement, the Credit Agreement and the other Loan Documents.

By its signature set forth below, each of the Borrower, the other Loan Parties, and RRI hereby confirms and ratifies all of its obligations under the Loan Documents to which it is a party and that each of the Loan Documents is valid and enforceable in every respect and that all of the terms and conditions thereof are legally binding upon each of the Borrower, the other Loan Parties, and RRI (as applicable) and are hereby reaffirmed and ratified. By its execution on the respective signature lines provided below, each of the Loan Parties and RRI hereby confirms and ratifies (a) all of its obligations under the Loan Documents, (b) the Liens granted to the Administrative Agent by the Loan Parties under the Security Instruments in respect of the Collateral (including all cash held in a deposit account and/or a securities account held or maintained with Administrative Agent that is subject to a control agreement or Mortgaged Property) as valid, binding, and enforceable first-priority Liens (except Liens permitted by Section 9.03 of the Credit Agreement to exist) which secure the Secured Obligations, and (c) that all references in such Security Instruments to the “Credit Agreement” (or words of similar import) refer to the Credit Agreement as amended hereby without impairing any such obligations or Liens in any respect.

This Agreement is limited solely to the specific matters listed above and shall not be deemed to be a waiver of any Default or Event of Default or, except as otherwise set forth above, an amendment of any provision of the Credit Agreement, the Forbearance Agreement, or other Loan Documents. THIS AGREEMENT SHALL BE GOVERNED BY, AND CONSTRUED IN ACCORDANCE WITH, THE LAW OF THE STATE OF NEW YORK. EACH PARTY HERETO HEREBY AGREES TO THE TERMS AND PROVISIONS SET FORTH FURTHER IN SECTION 12.09 OF THE CREDIT AGREEMENT AS IF SUCH SECTION WERE SET FORTH IN FULL HEREIN MUTATIS MUTANDIS. The provisions of Sections 4(f), 10, 11, 14, 15, 16, 17, 18, 19, 20, and 24 of the Forbearance Agreement shall apply to this Agreement mutatis mutandis. Each of the representations and warranties made by or on behalf of the Borrower, the other Loan Parties, RRI, the Administrative Agent and the Consenting Lenders contained in the Forbearance Agreement, was true and correct in all material respects when made, and is, true and correct in all material respects on and as of the date of this Agreement with the same full force and effect as if each of such representations and warranties had been made by such party on the date hereof and in this Agreement, except that references in such representations in the Forbearance Agreement to “this Agreement” shall be construed as references to this Agreement, and except for any representations and warranties in respect of the Designated Defaults or in respect of the existence of any Default or Event of Default arising from any landlord’s liens, operators’, vendors’, carriers’, warehousemen’s, repairmen’s, mechanics’, suppliers’, workers’, materialmen’s, construction or other like Liens arising by operation of law or otherwise in the ordinary course of business or incident to the exploration, development, operation and maintenance of Oil and Gas Properties or Midstream Properties. This Agreement may be executed in any number

of counterparts and by different parties in separate counterparts, each of which when so executed shall be deemed to be an original and all of which taken together shall constitute one and the same agreement. Signature pages may be detached from multiple separate counterparts and attached to a single counterpart. Delivery of an executed signature page of this Agreement by facsimile transmission or electronic transmission shall be as effective as delivery of a manually executed counterpart hereof.

IN WITNESS WHEREOF, the parties hereto have caused this Agreement to be duly executed and delivered by their proper and duly authorized officers as of the day and year first above written.