The 'Iron Man 2' actress is reportedly trying to convince her husband, Coldplay singer Chris Martin, now is the perfect time to give five-year-old daughter Apple and four-year-old son Moses a sibling.
A source told Britain's Star magazine: "Gwyneth is desperate to have another baby. She really thinks it will bring the whole family closer together. They are a passionate couple... and having another baby would give them both something to look forward to."
While Gwyneth is keen to have another child, Chris, 33, allegedly thinks it may be the wrong time to extend their brood because they are both so busy with their careers.
The source added: "Chris is trying to figure out where to go next with his career, while Gwyneth is promoting her new film, 'Iron Man 2', and is in the process of making another one. Chris thinks the timing may be all wrong for her to get pregnant."
While it has previously been claimed the couple have considered adoption, the 37-year-old actress would prefer to conceive naturally again.
The source said: "Gwyneth loves the whole process of being pregnant and giving birth. It's very spiritual for her and she loves nothing more than motherhood, and being with Chris and the kids."