diff --git a/cmd/kube-rbac-proxy/app/kube-rbac-proxy.go b/cmd/kube-rbac-proxy/app/kube-rbac-proxy.go
index 85fb11603..94d41fbde 100644
--- a/cmd/kube-rbac-proxy/app/kube-rbac-proxy.go
+++ b/cmd/kube-rbac-proxy/app/kube-rbac-proxy.go
@@ -135,6 +135,8 @@ type completedProxyRunOptions struct {
 	upstreamForceH2C bool
 	upstreamCABundle *x509.CertPool
 
+	http2Options *http2.Server
+
 	auth *proxy.Config
 	tls  *options.TLSConfig
 
@@ -251,6 +253,19 @@ func Complete(o *options.ProxyRunOptions) (*completedProxyRunOptions, error) {
 		return nil, fmt.Errorf("failed to instantiate Kubernetes client: %w", err)
 	}
 
+	// At least 99% of serialized resources in surveyed clusters were smaller than 256kb.
+	// This should be big enough to accommodate most API POST requests in a single frame,
+	// and small enough to allow a per connection buffer of this size multiplied by `MaxConcurrentStreams`.
+	// https://github.com/kubernetes/kubernetes/blob/c3809672aa7b437ee3be4e227c182f0ef5f5e2b9/staging/src/k8s.io/apiserver/pkg/server/secure_serving.go#L175C1-L206
+	const resourceBody99Percentile = 256 * 1024
+	completed.http2Options = &http2.Server{
+		IdleTimeout:                  90 * time.Second,
+		MaxConcurrentStreams:         100,
+		MaxReadFrameSize:             resourceBody99Percentile,
+		MaxUploadBufferPerStream:     resourceBody99Percentile,
+		MaxUploadBufferPerConnection: resourceBody99Percentile * 100,
+	}
+
 	return completed, nil
 }
 
@@ -411,7 +426,7 @@ func Run(cfg *completedProxyRunOptions) error {
 			srv.TLSConfig.MinVersion = version
 			srv.TLSConfig.ClientAuth = tls.RequestClientCert
 
-			if err := http2.ConfigureServer(srv, nil); err != nil {
+			if err := http2.ConfigureServer(srv, cfg.http2Options); err != nil {
 				return fmt.Errorf("failed to configure http2 server: %w", err)
 			}
 
@@ -441,7 +456,7 @@ func Run(cfg *completedProxyRunOptions) error {
 					TLSConfig: srv.TLSConfig.Clone(),
 				}
 
-				if err := http2.ConfigureServer(proxyEndpointsSrv, nil); err != nil {
+				if err := http2.ConfigureServer(proxyEndpointsSrv, cfg.http2Options); err != nil {
 					return fmt.Errorf("failed to configure http2 server: %w", err)
 				}
 
@@ -472,7 +487,7 @@ func Run(cfg *completedProxyRunOptions) error {
 	}
 	{
 		if cfg.insecureListenAddress != "" {
-			srv := &http.Server{Handler: h2c.NewHandler(mux, &http2.Server{})}
+			srv := &http.Server{Handler: h2c.NewHandler(mux, cfg.http2Options)}
 
 			l, err := net.Listen("tcp", cfg.insecureListenAddress)
 			if err != nil {
diff --git a/pkg/filters/auth.go b/pkg/filters/auth.go
index b3027cc7c..ec6e9addc 100644
--- a/pkg/filters/auth.go
+++ b/pkg/filters/auth.go
@@ -25,6 +25,7 @@ import (
 	"github.com/brancz/kube-rbac-proxy/pkg/proxy"
 
 	"k8s.io/apiserver/pkg/authentication/authenticator"
+	"k8s.io/apiserver/pkg/authentication/user"
 	"k8s.io/apiserver/pkg/authorization/authorizer"
 	"k8s.io/apiserver/pkg/endpoints/request"
 	"k8s.io/klog/v2"
@@ -53,6 +54,20 @@ func WithAuthentication(
 			return
 		}
 
+		// http2 is an expensive protocol that is prone to abuse,
+		// see CVE-2023-44487 and CVE-2023-39325 for an example.
+		// Do not allow unauthenticated clients to keep these
+		// connections open (i.e. basically degrade them to the
+		// performance of http1 with keep-alive disabled).
+		//
+		// https://github.com/kubernetes/apiserver/blob/master/pkg/endpoints/filters/authentication.go#L107C1-L117C4
+		if req.ProtoMajor == 2 && isAnonymousUser(res.User) {
+			// limit this connection to just this request,
+			// and then send a GOAWAY and tear down the TCP connection
+			// https://github.com/golang/net/commit/97aa3a539ec716117a9d15a4659a911f50d13c3c
+			w.Header().Set("Connection", "close")
+		}
+
 		req = req.WithContext(request.WithUser(req.Context(), res.User))
 		handler.ServeHTTP(w, req)
 	}
@@ -123,3 +138,15 @@ func WithAuthHeaders(cfg *authn.AuthnHeaderConfig, handler http.HandlerFunc) htt
 		handler.ServeHTTP(w, req)
 	}
 }
+
+func isAnonymousUser(u user.Info) bool {
+	if u.GetName() == user.Anonymous {
+		return true
+	}
+	for _, group := range u.GetGroups() {
+		if group == user.AllUnauthenticated {
+			return true
+		}
+	}
+	return false
+}