diff --git a/watchtower/wtclient/client.go b/watchtower/wtclient/client.go
index c0a4c2331..b2ce38351 100644
--- a/watchtower/wtclient/client.go
+++ b/watchtower/wtclient/client.go
@@ -271,6 +271,8 @@ type TowerClient struct {
 	sessionQueue *sessionQueue
 	prevTask     *backupTask
 
+	closableSessionQueue *sessionCloseMinHeap
+
 	backupMu          sync.Mutex
 	summaries         wtdb.ChannelSummaries
 	chanCommitHeights map[lnwire.ChannelID]uint64
@@ -322,18 +324,19 @@ func New(config *Config) (*TowerClient, error) {
 	}
 
 	c := &TowerClient{
-		cfg:               cfg,
-		log:               plog,
-		pipeline:          newTaskPipeline(plog),
-		chanCommitHeights: make(map[lnwire.ChannelID]uint64),
-		activeSessions:    make(sessionQueueSet),
-		summaries:         chanSummaries,
-		statTicker:        time.NewTicker(DefaultStatInterval),
-		stats:             new(ClientStats),
-		newTowers:         make(chan *newTowerMsg),
-		staleTowers:       make(chan *staleTowerMsg),
-		forceQuit:         make(chan struct{}),
-		quit:              make(chan struct{}),
+		cfg:                  cfg,
+		log:                  plog,
+		pipeline:             newTaskPipeline(plog),
+		chanCommitHeights:    make(map[lnwire.ChannelID]uint64),
+		activeSessions:       make(sessionQueueSet),
+		summaries:            chanSummaries,
+		closableSessionQueue: newSessionCloseMinHeap(),
+		statTicker:           time.NewTicker(DefaultStatInterval),
+		stats:                new(ClientStats),
+		newTowers:            make(chan *newTowerMsg),
+		staleTowers:          make(chan *staleTowerMsg),
+		forceQuit:            make(chan struct{}),
+		quit:                 make(chan struct{}),
 	}
 
 	// perUpdate is a callback function that will be used to inspect the
diff --git a/watchtower/wtclient/sess_close_min_heap.go b/watchtower/wtclient/sess_close_min_heap.go
new file mode 100644
index 000000000..c5f58ec1a
--- /dev/null
+++ b/watchtower/wtclient/sess_close_min_heap.go
@@ -0,0 +1,95 @@
+package wtclient
+
+import (
+	"sync"
+
+	"github.com/lightningnetwork/lnd/queue"
+	"github.com/lightningnetwork/lnd/watchtower/wtdb"
+)
+
+// sessionCloseMinHeap is a thread-safe min-heap implementation that stores
+// sessionCloseItem items and prioritises the item with the lowest block height.
+type sessionCloseMinHeap struct {
+	queue queue.PriorityQueue
+	mu    sync.Mutex
+}
+
+// newSessionCloseMinHeap constructs a new sessionCloseMineHeap.
+func newSessionCloseMinHeap() *sessionCloseMinHeap {
+	return &sessionCloseMinHeap{}
+}
+
+// Len returns the length of the queue.
+func (h *sessionCloseMinHeap) Len() int {
+	h.mu.Lock()
+	defer h.mu.Unlock()
+
+	return h.queue.Len()
+}
+
+// Empty returns true if the queue is empty.
+func (h *sessionCloseMinHeap) Empty() bool {
+	h.mu.Lock()
+	defer h.mu.Unlock()
+
+	return h.queue.Empty()
+}
+
+// Push adds an item to the priority queue.
+func (h *sessionCloseMinHeap) Push(item *sessionCloseItem) {
+	h.mu.Lock()
+	defer h.mu.Unlock()
+
+	h.queue.Push(item)
+}
+
+// Pop removes the top most item from the queue.
+func (h *sessionCloseMinHeap) Pop() *sessionCloseItem {
+	h.mu.Lock()
+	defer h.mu.Unlock()
+
+	if h.queue.Empty() {
+		return nil
+	}
+
+	item := h.queue.Pop()
+
+	return item.(*sessionCloseItem) //nolint:forcetypeassert
+}
+
+// Top returns the top most item from the queue without removing it.
+func (h *sessionCloseMinHeap) Top() *sessionCloseItem {
+	h.mu.Lock()
+	defer h.mu.Unlock()
+
+	if h.queue.Empty() {
+		return nil
+	}
+
+	item := h.queue.Top()
+
+	return item.(*sessionCloseItem) //nolint:forcetypeassert
+}
+
+// sessionCloseItem represents a session that is ready to be deleted.
+type sessionCloseItem struct {
+	// sessionID is the ID of the session in question.
+	sessionID wtdb.SessionID
+
+	// deleteHeight is the block height after which we can delete the
+	// session.
+	deleteHeight uint32
+}
+
+// Less returns true if the current item's delete height is less than the
+// other sessionCloseItem's delete height. This results in lower block heights
+// being popped first from the heap.
+//
+// NOTE: this is part of the queue.PriorityQueueItem interface.
+func (s *sessionCloseItem) Less(other queue.PriorityQueueItem) bool {
+	o := other.(*sessionCloseItem).deleteHeight //nolint:forcetypeassert
+
+	return s.deleteHeight < o
+}
+
+var _ queue.PriorityQueueItem = (*sessionCloseItem)(nil)
diff --git a/watchtower/wtclient/sess_close_min_heap_test.go b/watchtower/wtclient/sess_close_min_heap_test.go
new file mode 100644
index 000000000..9983f5b93
--- /dev/null
+++ b/watchtower/wtclient/sess_close_min_heap_test.go
@@ -0,0 +1,52 @@
+package wtclient
+
+import (
+	"testing"
+
+	"github.com/stretchr/testify/require"
+)
+
+// TestSessionCloseMinHeap asserts that the sessionCloseMinHeap behaves as
+// expected.
+func TestSessionCloseMinHeap(t *testing.T) {
+	t.Parallel()
+
+	heap := newSessionCloseMinHeap()
+	require.Nil(t, heap.Pop())
+	require.Nil(t, heap.Top())
+	require.True(t, heap.Empty())
+	require.Zero(t, heap.Len())
+
+	// Add an item with height 10.
+	item1 := &sessionCloseItem{
+		sessionID:    [33]byte{1, 2, 3},
+		deleteHeight: 10,
+	}
+
+	heap.Push(item1)
+	require.Equal(t, item1, heap.Top())
+	require.False(t, heap.Empty())
+	require.EqualValues(t, 1, heap.Len())
+
+	// Add a bunch more items with heights 1, 2, 6, 11, 6, 30, 9.
+	heap.Push(&sessionCloseItem{deleteHeight: 1})
+	heap.Push(&sessionCloseItem{deleteHeight: 2})
+	heap.Push(&sessionCloseItem{deleteHeight: 6})
+	heap.Push(&sessionCloseItem{deleteHeight: 11})
+	heap.Push(&sessionCloseItem{deleteHeight: 6})
+	heap.Push(&sessionCloseItem{deleteHeight: 30})
+	heap.Push(&sessionCloseItem{deleteHeight: 9})
+
+	// Now pop from the queue and assert that the items are returned in
+	// ascending order.
+	require.EqualValues(t, 1, heap.Pop().deleteHeight)
+	require.EqualValues(t, 2, heap.Pop().deleteHeight)
+	require.EqualValues(t, 6, heap.Pop().deleteHeight)
+	require.EqualValues(t, 6, heap.Pop().deleteHeight)
+	require.EqualValues(t, 9, heap.Pop().deleteHeight)
+	require.EqualValues(t, 10, heap.Pop().deleteHeight)
+	require.EqualValues(t, 11, heap.Pop().deleteHeight)
+	require.EqualValues(t, 30, heap.Pop().deleteHeight)
+	require.Nil(t, heap.Pop())
+	require.Zero(t, heap.Len())
+}