06/06/2012 at 05:15 PM EDT
wants to set the record straight: she's not planning to end her marriage to Jason Hoppy any time soon.
"I haven't seen a divorce lawyer," the reality star says on the premiere episode of her syndicated daytime talk show Bethenny,
which begins in select markets on June 11. "My husband hasn't seen a divorce lawyer."
Recently, rumors abounded online that the sharp-witted Bethenny Ever After star
had met with attorneys and a divorce was imminent. This season of her Bravo show has also documented some struggles and bumps in her marriage.
"There is this whole big thing going on and the truth is, I put it all out there on my show," Frankel, 41, says of the rumors about her love life. "If it's out there, I'll tell you."
"I'm in a good marriage," she continues. "We have issues. We are not perfect. We work on it every day. We're committed."
Frankel and Hoppy have a 2-year-old daughter, Bryn