Info

Capabilities of reverse proxies or Load Balancers to redirect traffic coming from a client to the same instance when hit multiple times.

This behavior can be achieved by including a header, or inspecting the origin IP among others.

If you are using a header, then you need a Layer 7 Load Balancer, while if you are relying on source IP, then you need a Layer 4 Load Balancer.

Note, you need to make a decision here if you value speed or more fine gained routing. With a layer 7 LB, you can do much.