diff --git a/pkg/sql/distsql_running.go b/pkg/sql/distsql_running.go
index b3c735dbaa9e..2ca44d47a597 100644
--- a/pkg/sql/distsql_running.go
+++ b/pkg/sql/distsql_running.go
@@ -437,9 +437,16 @@ func (dsp *DistSQLPlanner) Run(
 		localState.Collection = planCtx.planner.Descriptors()
 	}
 
+	// noMutations indicates whether we know for sure that the plan doesn't have
+	// any mutations. If we don't have the access to the planner (which can be
+	// the case not on the main query execution path, i.e. BulkIO, CDC, etc),
+	// then we are ignorant of the details of the execution plan, so we choose
+	// to be on the safe side and mark 'noMutations' as 'false'.
+	noMutations := planCtx.planner != nil && !planCtx.planner.curPlan.flags.IsSet(planFlagContainsMutation)
+
 	if planCtx.isLocal {
 		localState.IsLocal = true
-		if planCtx.parallelizeScansIfLocal {
+		if noMutations && planCtx.parallelizeScansIfLocal {
 			// Even though we have a single flow on the gateway node, we might
 			// have decided to parallelize the scans. If that's the case, we
 			// will need to use the Leaf txn.
@@ -448,24 +455,33 @@ func (dsp *DistSQLPlanner) Run(
 			}
 		}
 	}
-	// Even if planCtx.isLocal is false (which is the case when we think it's
-	// worth distributing the query), we need to go through the processors to
-	// figure out whether any of them have concurrency.
-	//
-	// At the moment of writing, this is only relevant whenever the Streamer API
-	// might be used by some of the processors. The Streamer internally can have
-	// concurrency, so it expects to be given a LeafTxn. In order for that
-	// LeafTxn to be created later, during the flow setup, we need to populate
-	// leafInputState below, so we tell the localState that there is
-	// concurrency.
-	if row.CanUseStreamer(ctx, dsp.st) {
-		for _, proc := range plan.Processors {
-			if jr := proc.Spec.Core.JoinReader; jr != nil {
-				if jr.IsIndexJoin() {
-					// Index joins are executed via the Streamer API that has
-					// concurrency.
-					localState.HasConcurrency = true
-					break
+	if noMutations {
+		// Even if planCtx.isLocal is false (which is the case when we think
+		// it's worth distributing the query), we need to go through the
+		// processors to figure out whether any of them have concurrency.
+		//
+		// However, the concurrency requires the usage of LeafTxns which is only
+		// acceptable if we don't have any mutations in the plan.
+		// TODO(yuzefovich): we could be smarter here and allow the usage of the
+		// RootTxn by the mutations while still using the Streamer (that gets a
+		// LeafTxn) iff the plan is such that there is no concurrency between
+		// the root and the leaf txns.
+		//
+		// At the moment of writing, this is only relevant whenever the Streamer
+		// API might be used by some of the processors. The Streamer internally
+		// can have concurrency, so it expects to be given a LeafTxn. In order
+		// for that LeafTxn to be created later, during the flow setup, we need
+		// to populate leafInputState below, so we tell the localState that
+		// there is concurrency.
+		if row.CanUseStreamer(ctx, dsp.st) {
+			for _, proc := range plan.Processors {
+				if jr := proc.Spec.Core.JoinReader; jr != nil {
+					if jr.IsIndexJoin() {
+						// Index joins are executed via the Streamer API that has
+						// concurrency.
+						localState.HasConcurrency = true
+						break
+					}
 				}
 			}
 		}