diff --git a/pkg/ccl/storageccl/export.go b/pkg/ccl/storageccl/export.go
index af3310fb3917..730aacf7afe8 100644
--- a/pkg/ccl/storageccl/export.go
+++ b/pkg/ccl/storageccl/export.go
@@ -85,10 +85,11 @@ func evalExport(
 		reply.StartTime = cArgs.EvalCtx.GetGCThreshold()
 	}
 
-	if err := cArgs.EvalCtx.GetLimiters().ConcurrentExportRequests.Begin(ctx); err != nil {
+	q, err := cArgs.EvalCtx.GetLimiters().ConcurrentExportRequests.Begin(ctx)
+	if err != nil {
 		return result.Result{}, err
 	}
-	defer cArgs.EvalCtx.GetLimiters().ConcurrentExportRequests.Finish()
+	defer q.Release()
 
 	makeExternalStorage := !args.ReturnSST || args.Storage != roachpb.ExternalStorage{} ||
 		(args.StorageByLocalityKV != nil && len(args.StorageByLocalityKV) > 0)
diff --git a/pkg/kv/kvserver/replica_rangefeed.go b/pkg/kv/kvserver/replica_rangefeed.go
index 55bd4ea6fa75..8861496df518 100644
--- a/pkg/kv/kvserver/replica_rangefeed.go
+++ b/pkg/kv/kvserver/replica_rangefeed.go
@@ -177,8 +177,8 @@ func (r *Replica) RangeFeed(
 	var iterSemRelease func()
 	if !args.Timestamp.IsEmpty() {
 		usingCatchupIter = true
-		lim := &r.store.limiters.ConcurrentRangefeedIters
-		if err := lim.Begin(ctx); err != nil {
+		alloc, err := r.store.limiters.ConcurrentRangefeedIters.Begin(ctx)
+		if err != nil {
 			return roachpb.NewError(err)
 		}
 		// Finish the iterator limit if we exit before the iterator finishes.
@@ -191,7 +191,7 @@ func (r *Replica) RangeFeed(
 		// scan.
 		var iterSemReleaseOnce sync.Once
 		iterSemRelease = func() {
-			iterSemReleaseOnce.Do(lim.Finish)
+			iterSemReleaseOnce.Do(alloc.Release)
 		}
 		defer iterSemRelease()
 	}
diff --git a/pkg/kv/kvserver/store_send.go b/pkg/kv/kvserver/store_send.go
index ecfef3bb9e94..b2cb95b105e5 100644
--- a/pkg/kv/kvserver/store_send.go
+++ b/pkg/kv/kvserver/store_send.go
@@ -56,10 +56,11 @@ func (s *Store) Send(
 	// and block all other writes to the same span.
 	if ba.IsSingleAddSSTableRequest() {
 		before := timeutil.Now()
-		if err := s.limiters.ConcurrentAddSSTableRequests.Begin(ctx); err != nil {
+		alloc, err := s.limiters.ConcurrentAddSSTableRequests.Begin(ctx)
+		if err != nil {
 			return nil, roachpb.NewError(err)
 		}
-		defer s.limiters.ConcurrentAddSSTableRequests.Finish()
+		defer alloc.Release()
 
 		beforeEngineDelay := timeutil.Now()
 		s.engine.PreIngestDelay(ctx)
diff --git a/pkg/util/limit/BUILD.bazel b/pkg/util/limit/BUILD.bazel
index ab94c6d41c22..3b350f3723b2 100644
--- a/pkg/util/limit/BUILD.bazel
+++ b/pkg/util/limit/BUILD.bazel
@@ -6,8 +6,9 @@ go_library(
     importpath = "github.com/cockroachdb/cockroach/pkg/util/limit",
     visibility = ["//visibility:public"],
     deps = [
+        "//pkg/util/quotapool",
         "//pkg/util/tracing",
-        "@com_github_marusama_semaphore//:semaphore",
+        "@com_github_cockroachdb_errors//:errors",
     ],
 )
 
diff --git a/pkg/util/limit/limiter.go b/pkg/util/limit/limiter.go
index 962a1003d9d8..0a68748324bc 100644
--- a/pkg/util/limit/limiter.go
+++ b/pkg/util/limit/limiter.go
@@ -13,48 +13,45 @@ package limit
 import (
 	"context"
 
+	"github.com/cockroachdb/cockroach/pkg/util/quotapool"
 	"github.com/cockroachdb/cockroach/pkg/util/tracing"
-	"github.com/marusama/semaphore"
+	"github.com/cockroachdb/errors"
 )
 
 // ConcurrentRequestLimiter wraps a simple semaphore, adding a tracing span when
 // a request is forced to wait.
 type ConcurrentRequestLimiter struct {
 	spanName string
-	sem      semaphore.Semaphore
+	sem      *quotapool.IntPool
 }
 
 // MakeConcurrentRequestLimiter creates a ConcurrentRequestLimiter.
 func MakeConcurrentRequestLimiter(spanName string, limit int) ConcurrentRequestLimiter {
-	return ConcurrentRequestLimiter{spanName: spanName, sem: semaphore.New(limit)}
+	return ConcurrentRequestLimiter{
+		spanName: spanName,
+		sem:      quotapool.NewIntPool(spanName, uint64(limit)),
+	}
 }
 
 // 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) error {
-	select {
-	case <-ctx.Done():
-		return ctx.Err()
-	default:
+func (l *ConcurrentRequestLimiter) Begin(ctx context.Context) (*quotapool.IntAlloc, error) {
+	if err := ctx.Err(); err != nil {
+		return nil, err
 	}
 
-	if l.sem.TryAcquire(1) {
-		return nil
+	alloc, 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)
 	}
-	// If not, start a span and begin waiting.
-	ctx, span := tracing.ChildSpan(ctx, l.spanName)
-	defer span.Finish()
-	return l.sem.Acquire(ctx, 1)
-}
-
-// Finish indicates a concurrent request has completed and its reservation can
-// be returned to the pool.
-func (l *ConcurrentRequestLimiter) Finish() {
-	l.sem.Release(1)
+	return alloc, err
 }
 
 // SetLimit adjusts the size of the pool.
 func (l *ConcurrentRequestLimiter) SetLimit(newLimit int) {
-	l.sem.SetLimit(newLimit)
+	l.sem.UpdateCapacity(uint64(newLimit))
 }
diff --git a/pkg/util/limit/limiter_test.go b/pkg/util/limit/limiter_test.go
index ec80c573dccb..1deda00912a0 100644
--- a/pkg/util/limit/limiter_test.go
+++ b/pkg/util/limit/limiter_test.go
@@ -40,7 +40,8 @@ func TestConcurrentRequestLimiter(t *testing.T) {
 			req := 0
 			for {
 				//t.Logf("waiting to make request %d... (%d / %d)", req+1, l.sem.GetCount(), l.sem.GetLimit())
-				if err := l.Begin(ctx); err != nil {
+				alloc, err := l.Begin(ctx)
+				if err != nil {
 					if errors.Is(err, ctx.Err()) {
 						break
 					} else {
@@ -52,7 +53,7 @@ func TestConcurrentRequestLimiter(t *testing.T) {
 					cancel()
 				}
 				req++
-				l.Finish()
+				alloc.Release()
 			}
 			t.Logf("thread done after handling %d requests", req)
 			return nil