在AWS上使用Kubernetes时，TCP协议默认情况下没有可用的粘滞选项。然而，可以通过在AWS负载均衡器前面添加Nginx Ingress Controller来实现粘滞会话。以下是一个解决方法的代码示例：

首先，部署Nginx Ingress Controller：

apiVersion: v1
kind: Namespace
metadata:
  name: ingress-nginx
---
apiVersion: apps/v1
kind: Deployment
metadata:
  name: ingress-nginx-controller
  namespace: ingress-nginx
spec:
  replicas: 1
  selector:
    matchLabels:
      app: ingress-nginx
  template:
    metadata:
      labels:
        app: ingress-nginx
    spec:
      containers:
        - name: ingress-nginx-controller
          image: quay.io/kubernetes-ingress-controller/nginx-ingress-controller:0.23.0
          args:
            - /nginx-ingress-controller
            - --configmap=$(POD_NAMESPACE)/nginx-configuration
          env:
            - name: POD_NAME
              valueFrom:
                fieldRef:
                  fieldPath: metadata.name
            - name: POD_NAMESPACE
              valueFrom:
                fieldRef:
                  fieldPath: metadata.namespace
          ports:
            - name: http
              containerPort: 80
            - name: https
              containerPort: 443
---
apiVersion: v1
kind: Service
metadata:
  name: ingress-nginx-controller
  namespace: ingress-nginx
spec:
  type: LoadBalancer
  ports:
    - name: http
      port: 80
      targetPort: 80
    - name: https
      port: 443
      targetPort: 443
  selector:
    app: ingress-nginx

然后，创建Ingress对象来配置粘滞会话：

apiVersion: networking.k8s.io/v1
kind: Ingress
metadata:
  name: example-ingress
spec:
  rules:
    - host: example.com
      http:
        paths:
          - path: /
            pathType: Prefix
            backend:
              service:
                name: example-service
                port:
                  number: 80
  annotations:
    nginx.ingress.kubernetes.io/affinity: "cookie"
    nginx.ingress.kubernetes.io/session-cookie-name: "route"

上述示例中，nginx.ingress.kubernetes.io/affinity: "cookie"启用了粘滞会话，而nginx.ingress.kubernetes.io/session-cookie-name: "route"指定了会话Cookie的名称为"route"。

请注意，上述示例仅适用于AWS上使用Nginx Ingress Controller的情况。如果您使用的是其他云提供商或负载均衡器，解决方法可能会有所不同。