diff --git a/core/shared/src/main/scala/fs2/concurrent/Channel.scala b/core/shared/src/main/scala/fs2/concurrent/Channel.scala
index 68e71bcaa9..9807a525c4 100644
--- a/core/shared/src/main/scala/fs2/concurrent/Channel.scala
+++ b/core/shared/src/main/scala/fs2/concurrent/Channel.scala
@@ -117,6 +117,18 @@ sealed trait Channel[F[_], A] {
     */
   def closeWithElement(a: A): F[Either[Channel.Closed, Unit]]
 
+  /** Raises an error, closing the channel with an error state.
+    *
+    * No-op if the channel is closed, see [[close]] for further info.
+    */
+  def raiseError(e: Throwable): F[Either[Channel.Closed, Unit]]
+
+  /** Cancels the channel, closing it with a canceled state.
+    *
+    * No-op if the channel is closed, see [[close]] for further info.
+    */
+  def cancel: F[Either[Channel.Closed, Unit]]
+
   /** Returns true if this channel is closed */
   def isClosed: F[Boolean]
 
@@ -216,6 +228,12 @@ object Channel {
               )
           }
 
+        def raiseError(e: Throwable): F[Either[Closed, Unit]] =
+          closeWithExitCase(ExitCase.Errored(e))
+
+        def cancel: F[Either[Closed, Unit]] =
+          closeWithExitCase(ExitCase.Canceled)
+
         def isClosed = closedGate.tryGet.map(_.isDefined)
 
         def closed = closedGate.get
diff --git a/core/shared/src/main/scala/fs2/concurrent/Topic.scala b/core/shared/src/main/scala/fs2/concurrent/Topic.scala
index 2061070b16..f123e29659 100644
--- a/core/shared/src/main/scala/fs2/concurrent/Topic.scala
+++ b/core/shared/src/main/scala/fs2/concurrent/Topic.scala
@@ -23,6 +23,7 @@ package fs2
 package concurrent
 
 import cats.effect._
+import cats.effect.Resource.ExitCase
 import cats.effect.implicits._
 import cats.syntax.all._
 import scala.collection.immutable.LongMap
@@ -208,7 +209,8 @@ object Topic {
         }
 
         def publish: Pipe[F, A, Nothing] = { in =>
-          in.onFinalize(close.void)
+          in
+            .onFinalizeCase(closeWithExitCase(_).void)
             .evalMap(publish1)
             .takeWhile(_.isRight)
             .drain
@@ -223,13 +225,24 @@ object Topic {
         def subscribers: Stream[F, Int] = subscriberCount.discrete
 
         def close: F[Either[Topic.Closed, Unit]] =
+          closeWithExitCase(ExitCase.Succeeded)
+
+        def closeWithExitCase(exitCase: ExitCase): F[Either[Closed, Unit]] =
           signalClosure
             .complete(())
             .flatMap { completedNow =>
               val result = if (completedNow) Topic.rightUnit else Topic.closed
 
               state.get
-                .flatMap { case (subs, _) => foreach(subs)(_.close.void) }
+                .flatMap { case (subs, _) =>
+                  foreach(subs)(channel =>
+                    exitCase match {
+                      case ExitCase.Succeeded  => channel.close.void
+                      case ExitCase.Errored(e) => channel.raiseError(e).void
+                      case ExitCase.Canceled   => channel.cancel.void
+                    }
+                  )
+                }
                 .as(result)
             }
             .uncancelable
diff --git a/core/shared/src/test/scala/fs2/concurrent/TopicSuite.scala b/core/shared/src/test/scala/fs2/concurrent/TopicSuite.scala
index c26fd73dd7..dbbfe64296 100644
--- a/core/shared/src/test/scala/fs2/concurrent/TopicSuite.scala
+++ b/core/shared/src/test/scala/fs2/concurrent/TopicSuite.scala
@@ -22,11 +22,14 @@
 package fs2
 package concurrent
 
-import cats.syntax.all._
+import cats.syntax.all.*
 import cats.effect.IO
-import scala.concurrent.duration._
+
+import scala.concurrent.duration.*
 import cats.effect.testkit.TestControl
 
+import scala.concurrent.CancellationException
+
 class TopicSuite extends Fs2Suite {
   test("subscribers see all elements published") {
     Topic[IO, Int].flatMap { topic =>
@@ -204,6 +207,8 @@ class TopicSuite extends Fs2Suite {
             .drain
         }
 
-    TestControl.executeEmbed(program) // will fail if program is deadlocked
+    TestControl
+      .executeEmbed(program)
+      .intercept[CancellationException]
   }
 }