diff --git a/lib/async/http/protocol/http2/connection.rb b/lib/async/http/protocol/http2/connection.rb
index 37142ff1..bd3206ff 100644
--- a/lib/async/http/protocol/http2/connection.rb
+++ b/lib/async/http/protocol/http2/connection.rb
@@ -47,12 +47,21 @@ def synchronize(&block)
 					
 					# Write a single frame, deferring stop until the frame is written.
 					def write_frame(frame)
-						Task.current.defer_stop{super}
+						defer_stop {super}
 					end
 					
 					# Write multiple frames, deferring stop until the frames are written.
 					def write_frames
-						Task.current.defer_stop{super}
+						defer_stop {super}
+					end
+					
+					# A fiber may be running under the scheduler without being an Async task, e.g. an `Enumerator` reading a response body, in which case there is no task to defer stopping.
+					private def defer_stop(&block)
+						if task = Task.current?
+							task.defer_stop(&block)
+						else
+							yield
+						end
 					end
 					
 					# @returns [String] A string representation of this connection.
diff --git a/test/async/http/protocol/http2.rb b/test/async/http/protocol/http2.rb
index be6d4cf9..84857a28 100644
--- a/test/async/http/protocol/http2.rb
+++ b/test/async/http/protocol/http2.rb
@@ -149,6 +149,47 @@ def make_client(endpoint, **options)
 			end
 		end
 		
+		with "a fiber which is not an Async task" do
+			let(:app) do
+				Protocol::HTTP::Middleware.for do |request|
+					Protocol::HTTP::Response[200, {}, ["x" * 1_000_000] * 10]
+				end
+			end
+			
+			it "can read a response body larger than the window" do
+				response = client.get("/")
+				
+				# An Enumerator iterates in its own fiber, which has the scheduler but no task, e.g. Falcon reading a Rack body:
+				chunks = Enumerator.new do |yielder|
+					response.body.each{|chunk| yielder << chunk}
+				end
+				
+				size = 0
+				
+				loop do
+					size += chunks.next.bytesize
+				end
+				
+				expect(size).to be == 10_000_000
+			ensure
+				response&.close
+			end
+			
+			it "can cancel a response before its body is read" do
+				response = client.get("/")
+				stream = response.stream
+				
+				# Closing the response sends RST_STREAM, which is also a write from the non-task fiber:
+				cancel = Enumerator.new do |yielder|
+					response.close
+					yielder << stream.closed?
+				end
+				
+				expect(cancel.next).to be == true
+				expect{cancel.next}.to raise_exception(StopIteration)
+			end
+		end
+		
 		with "stopping requests" do
 			let(:finished) {Async::Promise.new}