Is HTTPS Stateful or Stateless?

I want a bit of clarity on whether HTTPS is stateful or stateless? This is with regards to a RESTful API I built. We were initially using HTTP. Since HTTP essentially works over TCP/IP which is stateless hence HTTP is stateless, but when I switched to HTTPS my API became stateful. I wanted to know whether my conclusion that HTTPS is stateful. is correct or not?I created my API using a middleware tool called webMethods. Thanks