The Liz & Dick actress appeared on the ABC show yesterday, where she was asked about the recent revelation that she has a half-sister following dad Michael Lohan's affair with Kristi Horn.
TMZ reports that producers at rival show Today accused Good Morning America of shying away from other personal subjects under agreement with Lohan's representatives.
Good Morning America has allegedly suggested producers at Today leaked stories of a PR deal because they were the "desperate competitor".
According to the website, Today called the interview "weak", as no questions were asked about other controversial issues in Lohan's personal life, including her latest legal troubles.
Last week, The View's Barbara Walters said she was disappointed at being snubbed by Lohan, after the actress cancelled an interview with Walters for 20/20 in order to appear on The Tonight Show with Jay Leno.
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