The 36-year-old actress paid tribute to her "best friend" and said she, her husband Cash Warren and their daughters Honor, nine, and five-year-old Haven are devastated by the pooch's passing.
Jessica, who is pregnant with her third child, shared a slideshow of images of Sid and her family on Instagram and wrote, "Our sweet Sid passed this morning she lived a long life, eating everything she could sniff out, she was my OG Rolldog, made her feature film debut in Honey.
"She was @Cash_warren first dog. Endured millions of snuggles from Havie pie and @shanidarden. She was the best friend a girl could ask for. We went through so much together my Sid. RIP (sic).