Fibrous structures comprising an oil system, sanitary tissue products comprising such fibrous structures and processes for making such fibrous structures and/or sanitary tissue products are provided. More particularly, fibrous structures comprising an oil system comprising a non-silicone oil comprising a triglyceride having a fatty acid profile containing a palmitic acid content of greater than about 15 wt %, sanitary tissue products comprising such fibrous structures and processes for making such fibrous structures are provided.