Ladies with cats

Ashley • TTC baby #1 with my fiance since 7/2015. Fighting depression for 5 years. Wish me luck...
Okay so I'm not really sure where to post this but I have a question about my male cat. Everyday, sometimes 2-3 times a day my cat brings small dead animals in our house. (Mice, moles birds) Is there anything I can do to stop this. He loves going outside during the day and sleep inside at night so I don't want to take that away from him. Any advice will help!