In an interview with US radio show Valentine, Kelly, 31, said that she and Brandon hope to be expecting a baby by Christmas.
"I want babies," said Kelly. "Yep I do!
"Everybody keeps saying, 'What do you want for Christmas?' And I'm like, 'I want to be pregnant.'"
Following her romantic union with talent manager Brandon, Kelly has now officially become a stepmother to his two children for a former relationship.
"They're awesome," she said in the weeks running up to her big day. "I'm in a great situation.
"I really lucked out with the whole kids situation," added Kelly. "They're amazing."
The American Idol winner said 'I do' in an intimate Tennessee ceremony on 20 October and later shared a video of the day with her fans on Twitter.
The bride wore a Temperley London 'Jessamine' wedding gown that featured a plunging neckline, lace overlay, long sleeves and a train.