The 'Bad Romance' singer impressed producer-and-judge Simon Cowell when she performed in a giant bathtub on the UK version of the TV talent show last year and the music mogul is desperate for her to bring her eccentricities to the upcoming series.
A source said: "Simon thinks Lady Gaga is great and really likes her energy. Conversations have been happening between Cowell's US team and her people about what kind of role she could have on the show."
The 23-year-old American star is said to be checking her hectic schedule to see if it is something she could fit in, but with her relentless touring commitments it may not be possible.
Earlier this month, Simon announced he would leave 'American Idol' to launch the US 'X Factor' after sealing a $160 million deal.
Other stars being tipped for a position on the judging panel include former Spice Girl Mel B, Paula Abdul and Cheryl Cole.