diff --git a/instrumentation/reactor/reactor-3.1/library/src/main/java/io/opentelemetry/instrumentation/reactor/ContextPropagationOperator.java b/instrumentation/reactor/reactor-3.1/library/src/main/java/io/opentelemetry/instrumentation/reactor/ContextPropagationOperator.java
index ea07b522011a..608b666e87f7 100644
--- a/instrumentation/reactor/reactor-3.1/library/src/main/java/io/opentelemetry/instrumentation/reactor/ContextPropagationOperator.java
+++ b/instrumentation/reactor/reactor-3.1/library/src/main/java/io/opentelemetry/instrumentation/reactor/ContextPropagationOperator.java
@@ -27,6 +27,7 @@
 import io.opentelemetry.instrumentation.api.annotation.support.async.AsyncOperationEndStrategies;
 import java.util.function.BiFunction;
 import java.util.function.Function;
+import javax.annotation.Nullable;
 import org.reactivestreams.Publisher;
 import reactor.core.CoreSubscriber;
 import reactor.core.Fuseable;
@@ -39,6 +40,8 @@
 /** Based on Spring Sleuth's Reactor instrumentation. */
 public final class ContextPropagationOperator {
 
+  private static final Object VALUE = new Object();
+
   public static ContextPropagationOperator create() {
     return builder().build();
   }
@@ -98,14 +101,20 @@ public static Context getOpenTelemetryContext(
    * reactive stream. This should generally be called in a static initializer block in your
    * application.
    */
-  public void registerOnEachOperator() {
+  public synchronized void registerOnEachOperator() {
+    if (enabled) {
+      return;
+    }
     Hooks.onEachOperator(TracingSubscriber.class.getName(), tracingLift(asyncOperationEndStrategy));
     AsyncOperationEndStrategies.instance().registerStrategy(asyncOperationEndStrategy);
     enabled = true;
   }
 
   /** Unregisters the hook registered by {@link #registerOnEachOperator()}. */
-  public void resetOnEachOperator() {
+  public synchronized void resetOnEachOperator() {
+    if (!enabled) {
+      return;
+    }
     Hooks.resetOnEachOperator(TracingSubscriber.class.getName());
     AsyncOperationEndStrategies.instance().unregisterStrategy(asyncOperationEndStrategy);
     enabled = false;
@@ -125,8 +134,7 @@ public static <T> Mono<T> runWithContext(Mono<T> publisher, Context tracingConte
     // this hack forces 'publisher' to run in the onNext callback of `TracingSubscriber`
     // (created for this publisher) and with current() span that refers to span created here
     // without the hack, publisher runs in the onAssembly stage, before traceContext is made current
-    return ScalarPropagatingMono.INSTANCE
-        .flatMap(i -> publisher)
+    return ScalarPropagatingMono.create(publisher)
         .subscriberContext(ctx -> storeOpenTelemetryContext(ctx, tracingContext));
   }
 
@@ -139,8 +147,7 @@ public static <T> Flux<T> runWithContext(Flux<T> publisher, Context tracingConte
     // this hack forces 'publisher' to run in the onNext callback of `TracingSubscriber`
     // (created for this publisher) and with current() span that refers to span created here
     // without the hack, publisher runs in the onAssembly stage, before traceContext is made current
-    return ScalarPropagatingFlux.INSTANCE
-        .flatMap(i -> publisher)
+    return ScalarPropagatingFlux.create(publisher)
         .subscriberContext(ctx -> storeOpenTelemetryContext(ctx, tracingContext));
   }
 
@@ -177,29 +184,61 @@ static void subscribeInActiveSpan(CoreSubscriber<? super Object> actual, Object
     }
   }
 
-  static class ScalarPropagatingMono extends Mono<Object> {
-    public static final Mono<Object> INSTANCE = new ScalarPropagatingMono();
+  static class ScalarPropagatingMono extends Mono<Object> implements Scannable {
 
-    private final Object value = new Object();
+    static <T> Mono<T> create(Mono<T> source) {
+      return new ScalarPropagatingMono(source).flatMap(unused -> source);
+    }
 
-    private ScalarPropagatingMono() {}
+    private final Mono<?> source;
+
+    private ScalarPropagatingMono(Mono<?> source) {
+      this.source = source;
+    }
 
     @Override
     public void subscribe(CoreSubscriber<? super Object> actual) {
-      subscribeInActiveSpan(actual, value);
+      subscribeInActiveSpan(actual, VALUE);
+    }
+
+    @Override
+    @Nullable
+    // Interface method doesn't have type parameter so we can't add it either.
+    @SuppressWarnings("rawtypes")
+    public Object scanUnsafe(Attr attr) {
+      if (attr == Attr.PARENT) {
+        return source;
+      }
+      return null;
     }
   }
 
-  static class ScalarPropagatingFlux extends Flux<Object> {
-    public static final Flux<Object> INSTANCE = new ScalarPropagatingFlux();
+  static class ScalarPropagatingFlux extends Flux<Object> implements Scannable {
 
-    private final Object value = new Object();
+    static <T> Flux<T> create(Flux<T> source) {
+      return new ScalarPropagatingFlux(source).flatMap(unused -> source);
+    }
 
-    private ScalarPropagatingFlux() {}
+    private final Flux<?> source;
+
+    private ScalarPropagatingFlux(Flux<?> source) {
+      this.source = source;
+    }
 
     @Override
     public void subscribe(CoreSubscriber<? super Object> actual) {
-      subscribeInActiveSpan(actual, value);
+      subscribeInActiveSpan(actual, VALUE);
+    }
+
+    @Override
+    @Nullable
+    // Interface method doesn't have type parameter so we can't add it either.
+    @SuppressWarnings("rawtypes")
+    public Object scanUnsafe(Scannable.Attr attr) {
+      if (attr == Scannable.Attr.PARENT) {
+        return source;
+      }
+      return null;
     }
   }
 }
diff --git a/instrumentation/reactor/reactor-3.1/library/src/test/java/io/opentelemetry/instrumentation/reactor/ReactorCoreTest.java b/instrumentation/reactor/reactor-3.1/library/src/test/java/io/opentelemetry/instrumentation/reactor/ReactorCoreTest.java
index cf5da0779015..aefefb572356 100644
--- a/instrumentation/reactor/reactor-3.1/library/src/test/java/io/opentelemetry/instrumentation/reactor/ReactorCoreTest.java
+++ b/instrumentation/reactor/reactor-3.1/library/src/test/java/io/opentelemetry/instrumentation/reactor/ReactorCoreTest.java
@@ -18,8 +18,10 @@
 import org.junit.jupiter.api.BeforeAll;
 import org.junit.jupiter.api.Test;
 import org.junit.jupiter.api.extension.RegisterExtension;
+import reactor.core.Scannable;
 import reactor.core.publisher.Flux;
 import reactor.core.publisher.Mono;
+import reactor.core.publisher.UnicastProcessor;
 
 class ReactorCoreTest extends AbstractReactorCoreTest {
 
@@ -69,17 +71,16 @@ void monoInNonBlockingPublisherAssembly() {
 
   @Test
   void fluxInNonBlockingPublisherAssembly() {
+    Flux<Integer> source =
+        Flux.defer(
+            () -> {
+              Span.current().setAttribute("inner", "foo");
+              return Flux.just(5, 6);
+            });
     testing.runWithSpan(
         "parent",
         () ->
-            ContextPropagationOperator.ScalarPropagatingFlux.INSTANCE
-                .flatMap(
-                    unused ->
-                        Flux.defer(
-                            () -> {
-                              Span.current().setAttribute("inner", "foo");
-                              return Flux.just(5, 6);
-                            }))
+            ContextPropagationOperator.ScalarPropagatingFlux.create(source)
                 .doOnEach(
                     signal -> {
                       if (signal.isOnError()) {
@@ -199,9 +200,37 @@ void noTracingBeforeRegistration() {
         trace -> trace.hasSpansSatisfyingExactly(span -> span.hasName("after").hasNoParent()));
   }
 
+  @Test
+  void monoParentsAccessible() {
+    UnicastProcessor<String> source = UnicastProcessor.create();
+    Mono<String> mono =
+        ContextPropagationOperator.runWithContext(source.singleOrEmpty(), Context.root());
+
+    source.onNext("foo");
+    source.onComplete();
+
+    assertThat(mono.block()).isEqualTo("foo");
+
+    assertThat(((Scannable) mono).parents().filter(UnicastProcessor.class::isInstance).findFirst())
+        .isPresent();
+  }
+
+  @Test
+  void fluxParentsAccessible() {
+    UnicastProcessor<String> source = UnicastProcessor.create();
+    Flux<String> flux = ContextPropagationOperator.runWithContext(source, Context.root());
+
+    source.onNext("foo");
+    source.onComplete();
+
+    assertThat(flux.collectList().block()).containsExactly("foo");
+
+    assertThat(((Scannable) flux).parents().filter(UnicastProcessor.class::isInstance).findFirst())
+        .isPresent();
+  }
+
   private <T> Mono<T> monoSpan(Mono<T> mono, String spanName) {
-    return ContextPropagationOperator.ScalarPropagatingMono.INSTANCE
-        .flatMap(unused -> mono)
+    return ContextPropagationOperator.ScalarPropagatingMono.create(mono)
         .doOnEach(
             signal -> {
               if (signal.isOnError()) {