diff --git a/pkg/ccl/storageccl/export.go b/pkg/ccl/storageccl/export.go
index 9550a9650dad..68d915e2e1c4 100644
--- a/pkg/ccl/storageccl/export.go
+++ b/pkg/ccl/storageccl/export.go
@@ -85,12 +85,6 @@ func evalExport(
 		reply.StartTime = cArgs.EvalCtx.GetGCThreshold()
 	}
 
-	q, err := cArgs.EvalCtx.GetLimiters().ConcurrentExportRequests.Begin(ctx)
-	if err != nil {
-		return result.Result{}, err
-	}
-	defer q.Release()
-
 	makeExternalStorage := !args.ReturnSST || args.Storage != roachpb.ExternalStorage{} ||
 		(args.StorageByLocalityKV != nil && len(args.StorageByLocalityKV) > 0)
 	if makeExternalStorage || log.V(1) {
diff --git a/pkg/kv/kvserver/batcheval/eval_context.go b/pkg/kv/kvserver/batcheval/eval_context.go
index 60e1c429e094..3c30a9436b86 100644
--- a/pkg/kv/kvserver/batcheval/eval_context.go
+++ b/pkg/kv/kvserver/batcheval/eval_context.go
@@ -56,7 +56,6 @@ type EvalContext interface {
 	DB() *kv.DB
 	AbortSpan() *abortspan.AbortSpan
 	GetConcurrencyManager() concurrency.Manager
-	GetLimiters() *Limiters
 
 	NodeID() roachpb.NodeID
 	StoreID() roachpb.StoreID
@@ -182,9 +181,6 @@ func (m *mockEvalCtxImpl) Clock() *hlc.Clock {
 func (m *mockEvalCtxImpl) DB() *kv.DB {
 	panic("unimplemented")
 }
-func (m *mockEvalCtxImpl) GetLimiters() *Limiters {
-	panic("unimplemented")
-}
 func (m *mockEvalCtxImpl) AbortSpan() *abortspan.AbortSpan {
 	return m.MockEvalCtx.AbortSpan
 }
diff --git a/pkg/kv/kvserver/replica.go b/pkg/kv/kvserver/replica.go
index 772177b12a44..62b53614f348 100644
--- a/pkg/kv/kvserver/replica.go
+++ b/pkg/kv/kvserver/replica.go
@@ -826,11 +826,6 @@ func (r *Replica) AbortSpan() *abortspan.AbortSpan {
 	return r.abortSpan
 }
 
-// GetLimiters returns the Replica's limiters.
-func (r *Replica) GetLimiters() *batcheval.Limiters {
-	return &r.store.limiters
-}
-
 // GetConcurrencyManager returns the Replica's concurrency.Manager.
 func (r *Replica) GetConcurrencyManager() concurrency.Manager {
 	return r.concMgr
diff --git a/pkg/kv/kvserver/replica_eval_context_span.go b/pkg/kv/kvserver/replica_eval_context_span.go
index e6d6c53c40fc..cf6255c89acc 100644
--- a/pkg/kv/kvserver/replica_eval_context_span.go
+++ b/pkg/kv/kvserver/replica_eval_context_span.go
@@ -236,11 +236,6 @@ func (rec *SpanSetReplicaEvalContext) GetCurrentReadSummary(
 	return rec.i.GetCurrentReadSummary(ctx)
 }
 
-// GetLimiters returns the per-store limiters.
-func (rec *SpanSetReplicaEvalContext) GetLimiters() *batcheval.Limiters {
-	return rec.i.GetLimiters()
-}
-
 // GetExternalStorage returns an ExternalStorage object, based on
 // information parsed from a URI, stored in `dest`.
 func (rec *SpanSetReplicaEvalContext) GetExternalStorage(
diff --git a/pkg/kv/kvserver/store_send.go b/pkg/kv/kvserver/store_send.go
index b2cb95b105e5..8a6cd885de58 100644
--- a/pkg/kv/kvserver/store_send.go
+++ b/pkg/kv/kvserver/store_send.go
@@ -16,6 +16,7 @@ import (
 
 	"github.com/cockroachdb/cockroach/pkg/keys"
 	"github.com/cockroachdb/cockroach/pkg/roachpb"
+	"github.com/cockroachdb/cockroach/pkg/util/limit"
 	"github.com/cockroachdb/cockroach/pkg/util/log"
 	"github.com/cockroachdb/cockroach/pkg/util/timeutil"
 )
@@ -52,27 +53,10 @@ func (s *Store) Send(
 		}
 	}
 
-	// Limit the number of concurrent AddSSTable requests, since they're expensive
-	// and block all other writes to the same span.
-	if ba.IsSingleAddSSTableRequest() {
-		before := timeutil.Now()
-		alloc, err := s.limiters.ConcurrentAddSSTableRequests.Begin(ctx)
-		if err != nil {
-			return nil, roachpb.NewError(err)
-		}
-		defer alloc.Release()
-
-		beforeEngineDelay := timeutil.Now()
-		s.engine.PreIngestDelay(ctx)
-		after := timeutil.Now()
-
-		waited, waitedEngine := after.Sub(before), after.Sub(beforeEngineDelay)
-		s.metrics.AddSSTableProposalTotalDelay.Inc(waited.Nanoseconds())
-		s.metrics.AddSSTableProposalEngineDelay.Inc(waitedEngine.Nanoseconds())
-		if waited > time.Second {
-			log.Infof(ctx, "SST ingestion was delayed by %v (%v for storage engine back-pressure)",
-				waited, waitedEngine)
-		}
+	if res, err := s.maybeThrottleBatch(ctx, ba); err != nil {
+		return nil, roachpb.NewError(err)
+	} else if res != nil {
+		defer res.Release()
 	}
 
 	if err := ba.SetActiveTimestamp(s.Clock().Now); err != nil {
@@ -261,3 +245,66 @@ func (s *Store) Send(
 	}
 	return nil, pErr
 }
+
+// maybeThrottleBatch inspects the provided batch and determines whether
+// throttling should be applied to avoid overloading the Store. If so, the
+// method blocks and returns a reservation that must be released after the
+// request has completed.
+//
+// Of note is that request throttling is all performed above evaluation and
+// before a request acquires latches on a range. Otherwise, the request could
+// inadvertently block others while being throttled.
+func (s *Store) maybeThrottleBatch(
+	ctx context.Context, ba roachpb.BatchRequest,
+) (limit.Reservation, error) {
+	if !ba.IsSingleRequest() {
+		return nil, nil
+	}
+
+	switch t := ba.Requests[0].GetInner().(type) {
+	case *roachpb.AddSSTableRequest:
+		// Limit the number of concurrent AddSSTable requests, since they're
+		// expensive and block all other writes to the same span. However, don't
+		// limit AddSSTable requests that are going to ingest as a WriteBatch.
+		if t.IngestAsWrites {
+			return nil, nil
+		}
+
+		before := timeutil.Now()
+		res, err := s.limiters.ConcurrentAddSSTableRequests.Begin(ctx)
+		if err != nil {
+			return nil, err
+		}
+
+		beforeEngineDelay := timeutil.Now()
+		s.engine.PreIngestDelay(ctx)
+		after := timeutil.Now()
+
+		waited, waitedEngine := after.Sub(before), after.Sub(beforeEngineDelay)
+		s.metrics.AddSSTableProposalTotalDelay.Inc(waited.Nanoseconds())
+		s.metrics.AddSSTableProposalEngineDelay.Inc(waitedEngine.Nanoseconds())
+		if waited > time.Second {
+			log.Infof(ctx, "SST ingestion was delayed by %v (%v for storage engine back-pressure)",
+				waited, waitedEngine)
+		}
+		return res, nil
+
+	case *roachpb.ExportRequest:
+		// Limit the number of concurrent Export requests, as these often scan and
+		// entire Range at a time and place significant read load on a Store.
+		before := timeutil.Now()
+		res, err := s.limiters.ConcurrentExportRequests.Begin(ctx)
+		if err != nil {
+			return nil, err
+		}
+
+		waited := timeutil.Since(before)
+		if waited > time.Second {
+			log.Infof(ctx, "Export request was delayed by %v", waited)
+		}
+		return res, nil
+
+	default:
+		return nil, nil
+	}
+}
diff --git a/pkg/roachpb/batch.go b/pkg/roachpb/batch.go
index 6cb9eaba9b79..7da769cc6d79 100644
--- a/pkg/roachpb/batch.go
+++ b/pkg/roachpb/batch.go
@@ -245,16 +245,6 @@ func (ba *BatchRequest) IsSingleCheckConsistencyRequest() bool {
 	return ba.isSingleRequestWithMethod(CheckConsistency)
 }
 
-// IsSingleAddSSTableRequest returns true iff the batch contains a single
-// request, and that request is an AddSSTableRequest that will ingest as an SST,
-// (i.e. does not have IngestAsWrites set)
-func (ba *BatchRequest) IsSingleAddSSTableRequest() bool {
-	if ba.isSingleRequestWithMethod(AddSSTable) {
-		return !ba.Requests[0].GetInner().(*AddSSTableRequest).IngestAsWrites
-	}
-	return false
-}
-
 // IsCompleteTransaction determines whether a batch contains every write in a
 // transactions.
 func (ba *BatchRequest) IsCompleteTransaction() bool {
diff --git a/pkg/util/limit/limiter.go b/pkg/util/limit/limiter.go
index 0a68748324bc..c2b9033fb4b2 100644
--- a/pkg/util/limit/limiter.go
+++ b/pkg/util/limit/limiter.go
@@ -25,6 +25,12 @@ type ConcurrentRequestLimiter struct {
 	sem      *quotapool.IntPool
 }
 
+// Reservation is an allocation from a limiter which should be released once the
+// limited task has been completed.
+type Reservation interface {
+	Release()
+}
+
 // MakeConcurrentRequestLimiter creates a ConcurrentRequestLimiter.
 func MakeConcurrentRequestLimiter(spanName string, limit int) ConcurrentRequestLimiter {
 	return ConcurrentRequestLimiter{
@@ -36,19 +42,19 @@ func MakeConcurrentRequestLimiter(spanName string, limit int) ConcurrentRequestL
 // Begin attempts to reserve a spot in the pool, blocking if needed until the
 // one is available or the context is canceled and adding a tracing span if it
 // is forced to block.
-func (l *ConcurrentRequestLimiter) Begin(ctx context.Context) (*quotapool.IntAlloc, error) {
+func (l *ConcurrentRequestLimiter) Begin(ctx context.Context) (Reservation, error) {
 	if err := ctx.Err(); err != nil {
 		return nil, err
 	}
 
-	alloc, err := l.sem.TryAcquire(ctx, 1)
+	res, err := l.sem.TryAcquire(ctx, 1)
 	if errors.Is(err, quotapool.ErrNotEnoughQuota) {
 		var span *tracing.Span
 		ctx, span = tracing.ChildSpan(ctx, l.spanName)
 		defer span.Finish()
-		alloc, err = l.sem.Acquire(ctx, 1)
+		res, err = l.sem.Acquire(ctx, 1)
 	}
-	return alloc, err
+	return res, err
 }
 
 // SetLimit adjusts the size of the pool.