diff --git a/driver/src/main/java/org/neo4j/driver/internal/async/NetworkSession.java b/driver/src/main/java/org/neo4j/driver/internal/async/NetworkSession.java
index 543a26bd8..03cf5d41d 100644
--- a/driver/src/main/java/org/neo4j/driver/internal/async/NetworkSession.java
+++ b/driver/src/main/java/org/neo4j/driver/internal/async/NetworkSession.java
@@ -199,7 +199,7 @@ public CompletionStage<ResultCursor> runAsync(Query query, TransactionConfig con
     public CompletionStage<RxResultCursor> runRx(
             Query query, TransactionConfig config, CompletionStage<RxResultCursor> cursorPublishStage) {
         ensureSessionIsOpen();
-        return ensureNoOpenTxBeforeRunningQuery()
+        var newResultCursorStage = ensureNoOpenTxBeforeRunningQuery()
                 .thenCompose(ignore -> acquireConnection(mode))
                 .thenCompose(connection -> {
                     var parameters = query.parameters().asMap(Values::value);
@@ -244,9 +244,12 @@ public CompletionStage<RxResultCursor> runRx(
                                 }
                             })
                             .thenCompose(Function.identity());
-                    resultCursorStage = cursorStage.exceptionally(error -> null);
                     return cursorStage.thenApply(Function.identity());
                 });
+        resultCursorStage = newResultCursorStage
+                .thenCompose(cursor -> cursor == null ? CompletableFuture.completedFuture(null) : cursorPublishStage)
+                .exceptionally(throwable -> null);
+        return newResultCursorStage;
     }
 
     public CompletionStage<UnmanagedTransaction> beginTransactionAsync(
diff --git a/driver/src/main/java/org/neo4j/driver/internal/cursor/RxResultCursorImpl.java b/driver/src/main/java/org/neo4j/driver/internal/cursor/RxResultCursorImpl.java
index fe47ebc43..2474c3f40 100644
--- a/driver/src/main/java/org/neo4j/driver/internal/cursor/RxResultCursorImpl.java
+++ b/driver/src/main/java/org/neo4j/driver/internal/cursor/RxResultCursorImpl.java
@@ -288,11 +288,18 @@ public CompletionStage<ResultSummary> summaryAsync() {
 
     @Override
     public CompletionStage<Void> rollback() {
-        log.trace("[%d] Rolling back unpublished result", hashCode());
         synchronized (this) {
-            state = State.SUCCEEDED;
+            log.trace("[%d] Rolling back unpublished result %s state", hashCode(), state);
+            switch (state) {
+                case READY -> state = State.SUCCEEDED;
+                case STREAMING, DISCARDING -> {
+                    return summaryFuture.thenApply(ignored -> null);
+                }
+                case FAILED, SUCCEEDED -> {
+                    return CompletableFuture.completedFuture(null);
+                }
+            }
         }
-        completeSummaryFuture(null, null);
         var resetFuture = new CompletableFuture<Void>();
         boltConnection
                 .reset()
@@ -319,14 +326,17 @@ public void onComplete() {
                         resetFuture.completeExceptionally(throwable);
                     }
                 });
-        return resetFuture.thenCompose(ignored -> boltConnection.close()).exceptionally(throwable -> null);
+        return resetFuture
+                .thenCompose(ignored -> boltConnection.close())
+                .whenComplete((ignored, throwable) -> completeSummaryFuture(null, null))
+                .exceptionally(throwable -> null);
     }
 
     @Override
     public void onComplete() {
-        log.trace("[%d] onComplete", hashCode());
         Runnable runnable;
         synchronized (this) {
+            log.trace("[%d] onComplete", hashCode());
             var throwable = interruptSupplier.get();
             if (throwable != null) {
                 handleError(throwable, true);