diff --git a/pkg/sentry/control/proc.go b/pkg/sentry/control/proc.go
index fbc025233..7fd4ffaf0 100644
--- a/pkg/sentry/control/proc.go
+++ b/pkg/sentry/control/proc.go
@@ -266,8 +266,9 @@ func (proc *Proc) execAsync(args *ExecArgs) (*kernel.ThreadGroup, kernel.ThreadI
 		initArgs.Filename = resolved
 	}
 
-	containerName := proc.Kernel.ContainerNameGivenID(args.ContainerID)
-	ttyFile, err := fdimport.Import(ctx, fdTable, args.StdioIsPty, args.KUID, args.KGID, fdMap, containerName)
+	// TODO(gvisor.dev/issue/1956): Container name is not really needed because
+	// exec processes are not restored, but add it for completeness.
+	ttyFile, err := fdimport.Import(ctx, fdTable, args.StdioIsPty, args.KUID, args.KGID, fdMap, "")
 	if err != nil {
 		return nil, 0, nil, err
 	}
diff --git a/pkg/sentry/kernel/kernel.go b/pkg/sentry/kernel/kernel.go
index 6aa6a21f6..73237adb7 100644
--- a/pkg/sentry/kernel/kernel.go
+++ b/pkg/sentry/kernel/kernel.go
@@ -348,9 +348,6 @@ type Kernel struct {
 	// devGofers maps container ID to its device gofer client.
 	devGofers   map[string]*devutil.GoferClient `state:"nosave"`
 	devGofersMu sync.Mutex                      `state:"nosave"`
-
-	// cid -> name.
-	containerNames map[string]string
 }
 
 // InitKernelArgs holds arguments to Init.
@@ -457,7 +454,6 @@ func (k *Kernel) Init(args InitKernelArgs) error {
 		args.MaxFDLimit = MaxFdLimit
 	}
 	k.MaxFDLimit.Store(args.MaxFDLimit)
-	k.containerNames = make(map[string]string)
 
 	ctx := k.SupervisorContext()
 	if err := k.vfs.Init(ctx); err != nil {
@@ -1960,13 +1956,3 @@ func (k *Kernel) cleaupDevGofers() {
 	}
 	k.devGofers = nil
 }
-
-// RegisterContainerName registers a container name for a given container ID.
-func (k *Kernel) RegisterContainerName(cid, containerName string) {
-	k.containerNames[cid] = containerName
-}
-
-// ContainerNameGivenID returns the container name for a given container ID.
-func (k *Kernel) ContainerNameGivenID(cid string) string {
-	return k.containerNames[cid]
-}
diff --git a/runsc/boot/loader.go b/runsc/boot/loader.go
index 3edbcb157..a9c214e41 100644
--- a/runsc/boot/loader.go
+++ b/runsc/boot/loader.go
@@ -543,7 +543,6 @@ func New(args Args) (*Loader, error) {
 		}
 	}
 
-	k.RegisterContainerName(args.ID, info.containerName)
 	eid := execID{cid: args.ID}
 	l := &Loader{
 		k:             k,
@@ -955,7 +954,6 @@ func (l *Loader) startSubcontainer(spec *specs.Spec, conf *config.Config, cid st
 		})
 	}
 
-	l.k.RegisterContainerName(cid, info.containerName)
 	l.k.StartProcess(ep.tg)
 	// No more failures from this point on.
 	cu.Release()