The actress thinks it would be a great idea since Suri and her own daughter Grier were born at the same hospital on the same day.
Brooke told Access Hollywood: "Everybody's asking if Grier's going to have a joint birthday party with baby Suri.
"We haven't planned that yet. I think they're going to be away for her birthday. So maybe it will happen after we get back."
Suri and Grier - Brooke's second daughter with husband Chris Henchy - were born on April 18 at California's St. John's Medical Center.
In 2005, Brooke came under fire from Tom after openly admitting she suffered from post-natal depression following the birth of her first daughter Rowan Francis, who turns four next month.
Devout Scientologist Tom criticized mothers who used anti-depressant medication during a TV interview.
Brooke, 41, hit back by saying Tom should "stick to fighting aliens and let mothers decide the best way to treat postpartum depression".
