diff --git a/config/envoyconfig/clusters.go b/config/envoyconfig/clusters.go
index 81974da44..92990e002 100644
--- a/config/envoyconfig/clusters.go
+++ b/config/envoyconfig/clusters.go
@@ -188,6 +188,15 @@ func (b *Builder) buildPolicyCluster(ctx context.Context, cfg *config.Config, po
 		}
 	}
 
+	cluster.CircuitBreakers = &envoy_config_cluster_v3.CircuitBreakers{
+		Thresholds: []*envoy_config_cluster_v3.CircuitBreakers_Thresholds{{
+			Priority:           envoy_config_core_v3.RoutingPriority_DEFAULT,
+			MaxConnections:     wrapperspb.UInt32(10000),
+			MaxPendingRequests: wrapperspb.UInt32(10000),
+			MaxRequests:        wrapperspb.UInt32(10000),
+		}},
+	}
+
 	cluster.AltStatName = getClusterStatsName(policy)
 	upstreamProtocol := getUpstreamProtocolForPolicy(ctx, policy)
 
diff --git a/config/envoyconfig/grpc_max_connections_test.go b/config/envoyconfig/grpc_max_connections_test.go
new file mode 100644
index 000000000..541c6c361
--- /dev/null
+++ b/config/envoyconfig/grpc_max_connections_test.go
@@ -0,0 +1,149 @@
+package envoyconfig_test
+
+import (
+	"context"
+	"fmt"
+	"testing"
+
+	"github.com/stretchr/testify/assert"
+	"go.opentelemetry.io/otel/attribute"
+	"go.opentelemetry.io/otel/codes"
+	oteltrace "go.opentelemetry.io/otel/trace"
+	"google.golang.org/grpc"
+	"google.golang.org/grpc/credentials/insecure"
+	"google.golang.org/grpc/interop"
+	"google.golang.org/grpc/interop/grpc_testing"
+
+	"github.com/pomerium/pomerium/config"
+	"github.com/pomerium/pomerium/internal/testenv"
+	"github.com/pomerium/pomerium/internal/testenv/snippets"
+	"github.com/pomerium/pomerium/internal/testenv/upstreams"
+)
+
+func TestMaxGRPCConn(t *testing.T) {
+	env := testenv.New(t)
+
+	up := upstreams.GRPC(insecure.NewCredentials())
+	srv := interop.NewTestServer()
+	grpc_testing.RegisterTestServiceServer(up, srv)
+
+	h2c := up.Route().
+		From(env.SubdomainURL("grpc-h2c")).
+		Policy(func(p *config.Policy) { p.AllowPublicUnauthenticatedAccess = true })
+
+	env.AddUpstream(up)
+	env.Start()
+	snippets.WaitStartupComplete(env)
+
+	const maxConnections = 1025
+
+	ctx, cancel := context.WithCancel(env.Context())
+	t.Cleanup(cancel)
+	ch := make(chan error)
+	tracer := env.Tracer()
+	for i := range maxConnections {
+		go func() {
+			ctx, span := tracer.Start(ctx, "Test", oteltrace.WithAttributes(
+				attribute.Float64("runner", float64(i)),
+			))
+			defer span.End()
+
+			runner := newTestRunner(tracer)
+			if err := runner.Connect(ctx, up, h2c); err != nil {
+				span.SetStatus(codes.Error, "connect error")
+				ch <- fmt.Errorf("connect: %w", err)
+				return
+			}
+
+			if err := runner.Run(); err != nil {
+				ch <- fmt.Errorf("run: %w", err)
+				return
+			}
+
+			ch <- nil
+			<-ctx.Done()
+			span.SetStatus(codes.Ok, "context cancelled")
+		}()
+	}
+
+	for i := 0; i < maxConnections; i++ {
+		select {
+		case err := <-ch:
+			t.Logf("#%d: got response %v", i, err)
+
+			if !assert.NoError(t, err) {
+				cancel()
+				t.FailNow()
+			}
+		case <-ctx.Done():
+			t.Fatal("timeout")
+		}
+	}
+
+	cancel()
+}
+
+type testRunner struct {
+	tracer oteltrace.Tracer
+	client grpc_testing.TestServiceClient
+	call   grpc.BidiStreamingClient[grpc_testing.StreamingOutputCallRequest, grpc_testing.StreamingOutputCallResponse]
+}
+
+func newTestRunner(tracer oteltrace.Tracer) *testRunner {
+	return &testRunner{
+		tracer: tracer,
+	}
+}
+
+func (r *testRunner) Connect(
+	ctx context.Context,
+	up upstreams.GRPCUpstream,
+	h2c testenv.Route,
+) error {
+	cc := up.Dial(h2c)
+
+	client := grpc_testing.NewTestServiceClient(cc)
+	call, err := client.FullDuplexCall(ctx)
+	if err != nil {
+		return fmt.Errorf("call: %w", err)
+	}
+	r.call = call
+	return nil
+}
+
+func (r *testRunner) Run() error {
+	if err := r.Send(); err != nil {
+		return fmt.Errorf("send: %w", err)
+	}
+
+	if err := r.Recv(); err != nil {
+		return fmt.Errorf("recv: %w", err)
+	}
+
+	return nil
+}
+
+func (r *testRunner) Send() error {
+	return r.call.Send(&grpc_testing.StreamingOutputCallRequest{
+		ResponseParameters: []*grpc_testing.ResponseParameters{
+			{
+				Size: 17,
+			},
+		},
+		ResponseStatus: &grpc_testing.EchoStatus{
+			Message: "hello",
+		},
+	})
+}
+
+func (r *testRunner) Recv() error {
+	resp, err := r.call.Recv()
+	if err != nil {
+		return fmt.Errorf("recv: %w", err)
+	}
+	if n := len(resp.Payload.Body); n != 17 {
+		return fmt.Errorf("got %d bytes, want 17", n)
+	}
+
+	return nil
+}