diff --git a/pkg/cri/annotations/annotations.go b/pkg/cri/annotations/annotations.go
index 1cd8f5ccc..181eb05c7 100644
--- a/pkg/cri/annotations/annotations.go
+++ b/pkg/cri/annotations/annotations.go
@@ -32,6 +32,16 @@ const (
 	// SandboxID is the sandbox ID annotation
 	SandboxID = "io.kubernetes.cri.sandbox-id"
 
+	// SandboxCPU annotations are based on the initial CPU configuration for the sandbox. This is calculated as the
+	// sum of container CPU resources, optionally provided by Kubelet (introduced  in 1.23) as part of the PodSandboxConfig
+	SandboxCPUPeriod = "io.kubernetes.cri.sandbox-cpu-period"
+	SandboxCPUQuota  = "io.kubernetes.cri.sandbox-cpu-quota"
+	SandboxCPUShares = "io.kubernetes.cri.sandbox-cpu-shares"
+
+	// SandboxMemory is the initial amount of memory associated with this sandbox. This is calculated as the sum
+	// of container memory, optionally provided by Kubelet (introduced in 1.23) as part of the PodSandboxConfig.
+	SandboxMem = "io.kubernetes.cri.sandbox-memory"
+
 	// SandboxLogDir is the pod log directory annotation.
 	// If the sandbox needs to generate any log, it will put it into this directory.
 	// Kubelet will be responsible for:
diff --git a/pkg/cri/server/sandbox_run_linux.go b/pkg/cri/server/sandbox_run_linux.go
index 82c197310..4a82f1a9a 100644
--- a/pkg/cri/server/sandbox_run_linux.go
+++ b/pkg/cri/server/sandbox_run_linux.go
@@ -19,6 +19,7 @@ package server
 import (
 	"fmt"
 	"os"
+	"strconv"
 	"strings"
 
 	"github.com/containerd/containerd"
@@ -155,6 +156,15 @@ func (c *criService) sandboxContainerSpec(id string, config *runtime.PodSandboxC
 	if !c.config.DisableCgroup {
 		specOpts = append(specOpts, customopts.WithDefaultSandboxShares)
 	}
+
+	if res := config.GetLinux().GetResources(); res != nil {
+		specOpts = append(specOpts,
+			customopts.WithAnnotation(annotations.SandboxCPUPeriod, strconv.FormatInt(res.CpuPeriod, 10)),
+			customopts.WithAnnotation(annotations.SandboxCPUQuota, strconv.FormatInt(res.CpuQuota, 10)),
+			customopts.WithAnnotation(annotations.SandboxCPUShares, strconv.FormatInt(res.CpuShares, 10)),
+			customopts.WithAnnotation(annotations.SandboxMem, strconv.FormatInt(res.MemoryLimitInBytes, 10)))
+	}
+
 	specOpts = append(specOpts, customopts.WithPodOOMScoreAdj(int(defaultSandboxOOMAdj), c.config.RestrictOOMScoreAdj))
 
 	for pKey, pValue := range getPassthroughAnnotations(config.Annotations,
diff --git a/pkg/cri/server/sandbox_run_linux_test.go b/pkg/cri/server/sandbox_run_linux_test.go
index b203984e2..22509b379 100644
--- a/pkg/cri/server/sandbox_run_linux_test.go
+++ b/pkg/cri/server/sandbox_run_linux_test.go
@@ -19,6 +19,7 @@ package server
 import (
 	"os"
 	"path/filepath"
+	"strconv"
 	"testing"
 
 	imagespec "github.com/opencontainers/image-spec/specs-go/v1"
@@ -27,6 +28,7 @@ import (
 	"github.com/stretchr/testify/assert"
 	"github.com/stretchr/testify/require"
 	runtime "k8s.io/cri-api/pkg/apis/runtime/v1"
+	v1 "k8s.io/cri-api/pkg/apis/runtime/v1"
 
 	"github.com/containerd/containerd/pkg/cri/annotations"
 	"github.com/containerd/containerd/pkg/cri/opts"
@@ -173,6 +175,65 @@ func TestLinuxSandboxContainerSpec(t *testing.T) {
 				assert.Contains(t, spec.Linux.Sysctl["net.ipv4.ping_group_range"], "1 1000")
 			},
 		},
+		"sandbox sizing annotations should be set if LinuxContainerResources were provided": {
+			configChange: func(c *runtime.PodSandboxConfig) {
+				c.Linux.Resources = &v1.LinuxContainerResources{
+					CpuPeriod:          100,
+					CpuQuota:           200,
+					CpuShares:          5000,
+					MemoryLimitInBytes: 1024,
+				}
+			},
+			specCheck: func(t *testing.T, spec *runtimespec.Spec) {
+				value, ok := spec.Annotations[annotations.SandboxCPUPeriod]
+				assert.True(t, ok)
+				assert.EqualValues(t, strconv.FormatInt(100, 10), value)
+				assert.EqualValues(t, "100", value)
+
+				value, ok = spec.Annotations[annotations.SandboxCPUQuota]
+				assert.True(t, ok)
+				assert.EqualValues(t, "200", value)
+
+				value, ok = spec.Annotations[annotations.SandboxCPUShares]
+				assert.True(t, ok)
+				assert.EqualValues(t, "5000", value)
+
+				value, ok = spec.Annotations[annotations.SandboxMem]
+				assert.True(t, ok)
+				assert.EqualValues(t, "1024", value)
+			},
+		},
+		"sandbox sizing annotations should not be set if LinuxContainerResources were not provided": {
+			specCheck: func(t *testing.T, spec *runtimespec.Spec) {
+				_, ok := spec.Annotations[annotations.SandboxCPUPeriod]
+				assert.False(t, ok)
+				_, ok = spec.Annotations[annotations.SandboxCPUQuota]
+				assert.False(t, ok)
+				_, ok = spec.Annotations[annotations.SandboxCPUShares]
+				assert.False(t, ok)
+				_, ok = spec.Annotations[annotations.SandboxMem]
+				assert.False(t, ok)
+			},
+		},
+		"sandbox sizing annotations are zero if the resources are set to 0": {
+			configChange: func(c *runtime.PodSandboxConfig) {
+				c.Linux.Resources = &v1.LinuxContainerResources{}
+			},
+			specCheck: func(t *testing.T, spec *runtimespec.Spec) {
+				value, ok := spec.Annotations[annotations.SandboxCPUPeriod]
+				assert.True(t, ok)
+				assert.EqualValues(t, "0", value)
+				value, ok = spec.Annotations[annotations.SandboxCPUQuota]
+				assert.True(t, ok)
+				assert.EqualValues(t, "0", value)
+				value, ok = spec.Annotations[annotations.SandboxCPUShares]
+				assert.True(t, ok)
+				assert.EqualValues(t, "0", value)
+				value, ok = spec.Annotations[annotations.SandboxMem]
+				assert.True(t, ok)
+				assert.EqualValues(t, "0", value)
+			},
+		},
 	} {
 		t.Logf("TestCase %q", desc)
 		c := newTestCRIService()