Elizabeth Vargas, Marc Cohn

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Elizabeth Vargas' husband Marc Cohn is slamming a report that he allegedly had an affair while his wife was in rehab.

"I have no comment regarding vicious rumors about a so-called 'affair,'" the Grammy-winning songwriter said in a statement to the Daily Mail through a spokesperson on Thursday. "I have encouraged and supported Elizabeth's recovery as her years of struggle have been hard on everyone. Out of deference to my family's privacy, I will not comment further."

This denial comes in the wake of a Page Six report claiming Cohn had an affair with their mutual friend, Flywheel instructor Ruth Zukerman.

Reps for Vargas, ABC News and Flywheel had no comment.

The veteran journalist and mother of two announced in November that she was seeking treatment for alcoholism.

"Like so many people, I am dealing with addiction. I realized I was becoming increasingly dependent on alcohol," the 51-year-old newswoman told E! News in a statement at the time. "I am in treatment and am so thankful for the love and support of my family, friends and colleagues at ABC News."

The newswoman left rehab in January and bravely opened up about her personal struggle to seek help.

"On a Saturday afternoon I showed up for a 20/20 shoot and I was in no shape to do that interview," Vargas told Good Morning America's George Stephanopoulos in an interview that aired Jan. 24. "I got out of the car I realized what am I doing? And that's when I knew I needed to get help."

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