diff --git a/integration-cli/docker_cli_cp_test.go b/integration-cli/docker_cli_cp_test.go
new file mode 100644
index 0000000000..b5a70a45ed
--- /dev/null
+++ b/integration-cli/docker_cli_cp_test.go
@@ -0,0 +1,208 @@
+package main
+
+import (
+	"fmt"
+	"io/ioutil"
+	"os"
+	"path/filepath"
+	"testing"
+)
+
+const (
+	cpTestPathParent = "/some"
+	cpTestPath       = "/some/path"
+	cpTestName       = "test"
+	cpFullPath       = "/some/path/test"
+
+	cpContainerContents = "holla, i am the container"
+	cpHostContents      = "hello, i am the host"
+)
+
+// Test for #5656
+// Check that garbage paths don't escape the container's rootfs
+func TestCpGarbagePath(t *testing.T) {
+	out, exitCode, err := cmd(t, "run", "-d", "busybox", "/bin/sh", "-c", "mkdir -p '"+cpTestPath+"' && echo -n '"+cpContainerContents+"' > "+cpFullPath)
+	if err != nil || exitCode != 0 {
+		t.Fatal("failed to create a container", out, err)
+	}
+
+	cleanedContainerID := stripTrailingCharacters(out)
+	defer deleteContainer(cleanedContainerID)
+
+	out, _, err = cmd(t, "wait", cleanedContainerID)
+	if err != nil || stripTrailingCharacters(out) != "0" {
+		t.Fatal("failed to set up container", out, err)
+	}
+
+	if err := os.MkdirAll(cpTestPath, os.ModeDir); err != nil {
+		t.Fatal(err)
+	}
+
+	hostFile, err := os.Create(cpFullPath)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer hostFile.Close()
+	defer os.RemoveAll(cpTestPathParent)
+
+	fmt.Fprintf(hostFile, "%s", cpHostContents)
+
+	tmpdir, err := ioutil.TempDir("", "docker-integration")
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	tmpname := filepath.Join(tmpdir, cpTestName)
+	defer os.RemoveAll(tmpdir)
+
+	path := filepath.Join("../../../../../../../../../../../../", cpFullPath)
+
+	_, _, err = cmd(t, "cp", cleanedContainerID+":"+path, tmpdir)
+	if err != nil {
+		t.Fatalf("couldn't copy from garbage path: %s:%s %s", cleanedContainerID, path, err)
+	}
+
+	file, _ := os.Open(tmpname)
+	defer file.Close()
+
+	test, err := ioutil.ReadAll(file)
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	if string(test) == cpHostContents {
+		t.Errorf("output matched host file -- garbage path can escape container rootfs")
+	}
+
+	if string(test) != cpContainerContents {
+		t.Errorf("output doesn't match the input for garbage path")
+	}
+
+	logDone("cp - garbage paths relative to container's rootfs")
+}
+
+// Check that relative paths are relative to the container's rootfs
+func TestCpRelativePath(t *testing.T) {
+	out, exitCode, err := cmd(t, "run", "-d", "busybox", "/bin/sh", "-c", "mkdir -p '"+cpTestPath+"' && echo -n '"+cpContainerContents+"' > "+cpFullPath)
+	if err != nil || exitCode != 0 {
+		t.Fatal("failed to create a container", out, err)
+	}
+
+	cleanedContainerID := stripTrailingCharacters(out)
+	defer deleteContainer(cleanedContainerID)
+
+	out, _, err = cmd(t, "wait", cleanedContainerID)
+	if err != nil || stripTrailingCharacters(out) != "0" {
+		t.Fatal("failed to set up container", out, err)
+	}
+
+	if err := os.MkdirAll(cpTestPath, os.ModeDir); err != nil {
+		t.Fatal(err)
+	}
+
+	hostFile, err := os.Create(cpFullPath)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer hostFile.Close()
+	defer os.RemoveAll(cpTestPathParent)
+
+	fmt.Fprintf(hostFile, "%s", cpHostContents)
+
+	tmpdir, err := ioutil.TempDir("", "docker-integration")
+
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	tmpname := filepath.Join(tmpdir, cpTestName)
+	defer os.RemoveAll(tmpdir)
+
+	path, _ := filepath.Rel("/", cpFullPath)
+
+	_, _, err = cmd(t, "cp", cleanedContainerID+":"+path, tmpdir)
+	if err != nil {
+		t.Fatalf("couldn't copy from relative path: %s:%s %s", cleanedContainerID, path, err)
+	}
+
+	file, _ := os.Open(tmpname)
+	defer file.Close()
+
+	test, err := ioutil.ReadAll(file)
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	if string(test) == cpHostContents {
+		t.Errorf("output matched host file -- relative path can escape container rootfs")
+	}
+
+	if string(test) != cpContainerContents {
+		t.Errorf("output doesn't match the input for relative path")
+	}
+
+	logDone("cp - relative paths relative to container's rootfs")
+}
+
+// Check that absolute paths are relative to the container's rootfs
+func TestCpAbsolutePath(t *testing.T) {
+	out, exitCode, err := cmd(t, "run", "-d", "busybox", "/bin/sh", "-c", "mkdir -p '"+cpTestPath+"' && echo -n '"+cpContainerContents+"' > "+cpFullPath)
+	if err != nil || exitCode != 0 {
+		t.Fatal("failed to create a container", out, err)
+	}
+
+	cleanedContainerID := stripTrailingCharacters(out)
+	defer deleteContainer(cleanedContainerID)
+
+	out, _, err = cmd(t, "wait", cleanedContainerID)
+	if err != nil || stripTrailingCharacters(out) != "0" {
+		t.Fatal("failed to set up container", out, err)
+	}
+
+	if err := os.MkdirAll(cpTestPath, os.ModeDir); err != nil {
+		t.Fatal(err)
+	}
+
+	hostFile, err := os.Create(cpFullPath)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer hostFile.Close()
+	defer os.RemoveAll(cpTestPathParent)
+
+	fmt.Fprintf(hostFile, "%s", cpHostContents)
+
+	tmpdir, err := ioutil.TempDir("", "docker-integration")
+
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	tmpname := filepath.Join(tmpdir, cpTestName)
+	defer os.RemoveAll(tmpdir)
+
+	path := cpFullPath
+
+	_, _, err = cmd(t, "cp", cleanedContainerID+":"+path, tmpdir)
+	if err != nil {
+		t.Fatalf("couldn't copy from absolute path: %s:%s %s", cleanedContainerID, path, err)
+	}
+
+	file, _ := os.Open(tmpname)
+	defer file.Close()
+
+	test, err := ioutil.ReadAll(file)
+	if err != nil {
+		t.Fatal(err)
+	}
+
+	if string(test) == cpHostContents {
+		t.Errorf("output matched host file -- absolute path can escape container rootfs")
+	}
+
+	if string(test) != cpContainerContents {
+		t.Errorf("output doesn't match the input for absolute path")
+	}
+
+	logDone("cp - absolute paths relative to container's rootfs")
+}