diff --git a/pkg/crosscluster/logical/offline_initial_scan_processor.go b/pkg/crosscluster/logical/offline_initial_scan_processor.go
index db5c5587f594..c7489d45d118 100644
--- a/pkg/crosscluster/logical/offline_initial_scan_processor.go
+++ b/pkg/crosscluster/logical/offline_initial_scan_processor.go
@@ -18,7 +18,6 @@ import (
 	"github.com/cockroachdb/cockroach/pkg/kv/bulk"
 	"github.com/cockroachdb/cockroach/pkg/repstream/streampb"
 	"github.com/cockroachdb/cockroach/pkg/roachpb"
-	"github.com/cockroachdb/cockroach/pkg/settings"
 	"github.com/cockroachdb/cockroach/pkg/sql/catalog/catpb"
 	"github.com/cockroachdb/cockroach/pkg/sql/execinfra"
 	"github.com/cockroachdb/cockroach/pkg/sql/execinfrapb"
@@ -38,15 +37,6 @@ import (
 	"github.com/cockroachdb/logtags"
 )
 
-// TODO(msbutler): we can remove this setting once we eagerly spin down the proc
-// when the initial scan completes.
-var minimumFlushInterval = settings.RegisterDurationSettingWithExplicitUnit(
-	settings.SystemOnly,
-	"logical_replication.offline_scan_flush_interval",
-	"the minimum timestamp between flushes; flushes may still occur if internal buffers fill up",
-	5*time.Second,
-)
-
 // offlineInitialScanProcessor consumes a cross-cluster replication stream
 // by decoding kvs in it to logical changes and applying them by executing DMLs.
 type offlineInitialScanProcessor struct {
@@ -73,12 +63,18 @@ type offlineInitialScanProcessor struct {
 
 	errCh chan error
 
-	checkpointCh chan []jobspb.ResolvedSpan
+	checkpointCh chan offlineCheckpoint
 
 	rekey *backup.KeyRewriter
 
-	batcher      *bulk.SSTBatcher
-	lastKeyAdded roachpb.Key
+	batcher              *bulk.SSTBatcher
+	lastKeyAdded         roachpb.Key
+	initialScanCompleted bool
+}
+
+type offlineCheckpoint struct {
+	resolvedSpans              []jobspb.ResolvedSpan
+	afterInitialScanCompletion bool
 }
 
 var (
@@ -107,7 +103,7 @@ func newNewOfflineInitialScanProcessor(
 		spec:         spec,
 		processorID:  processorID,
 		stopCh:       make(chan struct{}),
-		checkpointCh: make(chan []jobspb.ResolvedSpan),
+		checkpointCh: make(chan offlineCheckpoint),
 		errCh:        make(chan error, 1),
 		rekey:        rekeyer,
 		lastKeyAdded: roachpb.Key{},
@@ -244,19 +240,9 @@ func (o *offlineInitialScanProcessor) Next() (rowenc.EncDatumRow, *execinfrapb.P
 	}
 
 	select {
-	case resolved, ok := <-o.checkpointCh:
-		if ok {
-			progressUpdate := &jobspb.ResolvedSpans{ResolvedSpans: resolved}
-			progressBytes, err := protoutil.Marshal(progressUpdate)
-			if err != nil {
-				o.MoveToDrainingAndLogError(err)
-				return nil, o.DrainHelper()
-			}
-			row := rowenc.EncDatumRow{
-				rowenc.DatumToEncDatum(types.Bytes, tree.NewDBytes(tree.DBytes(progressBytes))),
-			}
-			return row, nil
-		} else {
+	case checkpoint, ok := <-o.checkpointCh:
+		switch {
+		case !ok:
 			select {
 			case err := <-o.errCh:
 				o.MoveToDrainingAndLogError(err)
@@ -267,6 +253,23 @@ func (o *offlineInitialScanProcessor) Next() (rowenc.EncDatumRow, *execinfrapb.P
 				o.MoveToDrainingAndLogError(nil /* error */)
 				return nil, o.DrainHelper()
 			}
+		case checkpoint.afterInitialScanCompletion:
+			// The previous checkpoint completed the initial scan and was already
+			// ingested by the coordinator, so we can gracefully shut down the
+			// processor.
+			o.MoveToDraining(nil)
+			return nil, o.DrainHelper()
+		default:
+			progressUpdate := &jobspb.ResolvedSpans{ResolvedSpans: checkpoint.resolvedSpans}
+			progressBytes, err := protoutil.Marshal(progressUpdate)
+			if err != nil {
+				o.MoveToDrainingAndLogError(err)
+				return nil, o.DrainHelper()
+			}
+			row := rowenc.EncDatumRow{
+				rowenc.DatumToEncDatum(types.Bytes, tree.NewDBytes(tree.DBytes(progressBytes))),
+			}
+			return row, nil
 		}
 	case err := <-o.errCh:
 		o.MoveToDrainingAndLogError(err)
@@ -360,20 +363,17 @@ func (o *offlineInitialScanProcessor) checkpoint(
 		return errors.New("checkpoint event expected to have resolved spans")
 	}
 
+	completedInitialScan := true
 	for i := range resolvedSpans {
+		if resolvedSpans[i].Timestamp.IsEmpty() {
+			completedInitialScan = false
+		}
 		if o.spec.InitialScanTimestamp.Less(resolvedSpans[i].Timestamp) {
 			// Elide all checkpoints after initial scan timestamp.
 			resolvedSpans[i].Timestamp = o.spec.InitialScanTimestamp
 		}
 	}
 
-	minFlushInterval := minimumFlushInterval.Get(&o.FlowCtx.Cfg.Settings.SV)
-	if timeutil.Since(o.lastFlushTime) < minFlushInterval {
-		// To prevent checkpoint overload after event stream finishes initial scan,
-		// pace these noop checkpoints. This is a temporary measure until the
-		// processor eagerly spins down after initial scan.
-		return nil
-	}
 	log.Infof(ctx, "flushing batcher on checkpoint")
 	if err := o.flushBatch(ctx); err != nil {
 		return errors.Wrap(err, "flushing batcher on checkpoint")
@@ -381,7 +381,10 @@ func (o *offlineInitialScanProcessor) checkpoint(
 	o.batcher.Reset(ctx)
 
 	select {
-	case o.checkpointCh <- resolvedSpans:
+	case o.checkpointCh <- offlineCheckpoint{
+		resolvedSpans:              resolvedSpans,
+		afterInitialScanCompletion: o.initialScanCompleted,
+	}:
 	case <-ctx.Done():
 		return ctx.Err()
 	case <-o.stopCh:
@@ -392,6 +395,14 @@ func (o *offlineInitialScanProcessor) checkpoint(
 		return nil
 	}
 	o.lastFlushTime = timeutil.Now()
+	if completedInitialScan {
+		// Modify the processor state _after_ Next() has received the first
+		// checkpoint that completes the initial scan. This ensures Next()'s
+		// caller receives this checkpoint. Then, on the next checkpoint,
+		// `afterInitialScanCompletion` will be set, causing Next to gracefully
+		// shutdown the processor.
+		o.initialScanCompleted = true
+	}
 	return nil
 }