diff --git a/deps/amqp_client/src/amqp_gen_connection.erl b/deps/amqp_client/src/amqp_gen_connection.erl
index 5681845779..886a06d45f 100644
--- a/deps/amqp_client/src/amqp_gen_connection.erl
+++ b/deps/amqp_client/src/amqp_gen_connection.erl
@@ -31,6 +31,7 @@
                 server_properties,
                 %% connection.block, connection.unblock handler
                 block_handler,
+                blocked_by = sets:new([{version, 2}]),
                 closing = false %% #closing{} | false
                }).
 
@@ -199,9 +200,36 @@ handle_cast({server_misbehaved, AmqpError}, State) ->
     server_misbehaved_close(AmqpError, State);
 handle_cast({server_close, #'connection.close'{} = Close}, State) ->
     server_initiated_close(Close, State);
-handle_cast({register_blocked_handler, HandlerPid}, State) ->
+handle_cast({register_blocked_handler, HandlerPid},
+            #state{blocked_by = BlockedBy} = State) ->
     Ref = erlang:monitor(process, HandlerPid),
-    {noreply, State#state{block_handler = {HandlerPid, Ref}}}.
+    State1 = State#state{block_handler = {HandlerPid, Ref}},
+    %% If an alarm is already active, immediately block the handler.
+    _ = case sets:is_empty(BlockedBy) of
+            false ->
+                HandlerPid ! #'connection.blocked'{};
+            true ->
+                ok
+        end,
+    {noreply, State1};
+handle_cast({conserve_resources, Source, Conserve},
+            #state{blocked_by = BlockedBy} = State) ->
+    WasNotBlocked = sets:is_empty(BlockedBy),
+    BlockedBy1 = case Conserve of
+                     true ->
+                         sets:add_element(Source, BlockedBy);
+                     false ->
+                         sets:del_element(Source, BlockedBy)
+                 end,
+    State1 = State#state{blocked_by = BlockedBy1},
+    case sets:is_empty(BlockedBy1) of
+        true ->
+            handle_method(#'connection.unblocked'{}, State1);
+        false when WasNotBlocked ->
+            handle_method(#'connection.blocked'{}, State1);
+        false ->
+            {noreply, State1}
+    end.
 
 %% @private
 handle_info({'DOWN', _, process, BlockHandler, Reason},
diff --git a/deps/rabbit/src/rabbit_direct.erl b/deps/rabbit/src/rabbit_direct.erl
index 9f9a601bb2..62d34c4977 100644
--- a/deps/rabbit/src/rabbit_direct.erl
+++ b/deps/rabbit/src/rabbit_direct.erl
@@ -13,7 +13,8 @@
 -deprecated([{force_event_refresh, 1, eventually}]).
 
 %% Internal
--export([list_local/0]).
+-export([list_local/0,
+         conserve_resources/3]).
 
 %% For testing only
 -export([extract_extra_auth_props/4]).
@@ -206,6 +207,8 @@ connect1(User = #user{username = Username}, VHost, Protocol, Pid, Infos) ->
                 ok -> ok = pg_local:join(rabbit_direct, Pid),
                       rabbit_core_metrics:connection_created(Pid, Infos),
                       rabbit_event:notify(connection_created, Infos),
+                      _ = rabbit_alarm:register(
+                            Pid, {?MODULE, conserve_resources, []}),
                       {ok, {User, rabbit_reader:server_properties(Protocol)}}
             catch
                 exit:#amqp_error{name = Reason = not_allowed} ->
@@ -252,3 +255,9 @@ disconnect(Pid, Infos) ->
     pg_local:leave(rabbit_direct, Pid),
     rabbit_core_metrics:connection_closed(Pid),
     rabbit_event:notify(connection_closed, Infos).
+
+-spec conserve_resources(pid(),
+                         rabbit_alarm:resource_alarm_source(),
+                         rabbit_alarm:resource_alert()) -> 'ok'.
+conserve_resources(ChannelPid, Source, {_, Conserve, _}) ->
+    gen_server:cast(ChannelPid, {conserve_resources, Source, Conserve}).
diff --git a/deps/rabbitmq_shovel/test/amqp091_alarm_SUITE.erl b/deps/rabbitmq_shovel/test/amqp091_alarm_SUITE.erl
index 00a3b9f7f4..8ca9ae238a 100644
--- a/deps/rabbitmq_shovel/test/amqp091_alarm_SUITE.erl
+++ b/deps/rabbitmq_shovel/test/amqp091_alarm_SUITE.erl
@@ -16,12 +16,20 @@
 
 all() ->
     [
-     {group, all_tests}
+     {group, network_connection},
+     {group, direct_connection}
     ].
 
 groups() ->
     [
-     {all_tests, [], all_tests()}
+     {network_connection, [], [
+                               dest_resource_alarm_on_confirm,
+                               dest_resource_alarm_on_publish,
+                               dest_resource_alarm_no_ack
+                              ]},
+     {direct_connection, [], [
+                              dest_resource_alarm_on_confirm
+                             ]}
     ].
 
 all_tests() ->
@@ -51,13 +59,21 @@ end_per_suite(Config) ->
       rabbit_ct_client_helpers:teardown_steps() ++
       rabbit_ct_broker_helpers:teardown_steps()).
 
-init_per_group(_, Config) ->
+init_per_group(network_connection, Config) ->
     rabbit_ct_helpers:set_config(
       Config,
       [{shovel_source_uri, shovel_test_utils:make_uri(Config, 1)},
        {shovel_source_idx, 1},
        {shovel_dest_uri, shovel_test_utils:make_uri(Config, 0)},
        {shovel_dest_idx, 0}
+      ]);
+init_per_group(direct_connection, Config) ->
+    rabbit_ct_helpers:set_config(
+      Config,
+      [{shovel_source_uri, shovel_test_utils:make_uri(Config, 1)},
+       {shovel_source_idx, 1},
+       {shovel_dest_uri, <<"amqp://">>},
+       {shovel_dest_idx, 0}
       ]).
 
 end_per_group(_, Config) ->