Exhibit 99.1

Mid-Con Energy Partners, LP Announces Quarterly Cash Distribution

DALLAS, January 26, 2012 – Mid-Con Energy Partners, LP (NASDAQ: MCEP) (“Mid-Con Energy”) announced today a cash distribution of $0.057 per common unit, which reflects an initial quarterly distribution amount of $0.475 per common unit prorated for the partial period after the closing date of the initial public offering, December 20, 2011, through December 31, 2011. The distribution will be payable on February 13, 2012 to unitholders of record as of February 6, 2012.

About Mid-Con Energy Partners, LP

Mid-Con Energy is a Delaware limited partnership formed in July 2011 to own, operate, acquire, exploit and develop producing oil and natural gas properties in North America, with a focus on the Mid-Continent region of the United States. Mid-Con Energy’s core areas of operation are located in Southern Oklahoma, Northeastern Oklahoma and parts of Oklahoma and Colorado within the Hugoton Basin.

Forward-Looking Statements

This press release includes “forward-looking statements” — that is, statements related to future, not past, events. Forward-looking statements are based on current expectations and include any statement that does not directly relate to a current or historical fact. In this context, forward-looking statements often address expected future business and financial performance, and often contain words such as “anticipate,” “believe,” “intend,” “expect,” “plan” or “will” or other similar words. These forward-looking statements involve certain risks and uncertainties and ultimately may not prove to be accurate. Actual results and future events could differ materially from those anticipated in such statements. For further discussion of risks and uncertainties, you should refer to Mid-Con Energy’s filings with the Securities and Exchange Commission available at www.midconenergypartners.com or www.sec.gov. Mid-Con Energy undertakes no obligation and does not intend to update these forward-looking statements to reflect events or circumstances occurring after this press release. You are cautioned not to place undue reliance on these forward-looking statements, which speak only as of the date of this press release. All forward-looking statements are qualified in their entirety by this cautionary statement.

CONTACT:

Jeff Olmstead

President and Chief Financial Officer

(972) 479-5980

jolmstead@midcon-energy.com