Yes, slipcovers are designed to stay in place on your furniture. They are typically made with elasticized corners or ties that help secure them to the furniture piece. However, the stability of a slipcover largely depends on its quality and how well it fits the furniture. A well-fitted slipcover, tailored to the specific dimensions of the furniture, is less likely to slip or move around. Additionally, some slipcovers come with anti-slip features such as silicone dots or rubberized backing. It's also worth noting that while slipcovers are designed to stay put, they may require occasional adjustments, especially after being sat on or used extensively.