diff --git a/src/Storages/WindowView/StorageWindowView.cpp b/src/Storages/WindowView/StorageWindowView.cpp
index 5830c844582..4a20a07ae89 100644
--- a/src/Storages/WindowView/StorageWindowView.cpp
+++ b/src/Storages/WindowView/StorageWindowView.cpp
@@ -1051,17 +1051,27 @@ void StorageWindowView::threadFuncFireProc()
     if (shutdown_called)
         return;
 
+    /// Acquiring the lock can take seconds (depends on how long it takes to push) so we keep a reference to remember
+    /// what's the starting point where we want to push from
+    UInt32 timestamp_start = now();
+
     std::lock_guard lock(fire_signal_mutex);
     /// TODO: consider using time_t instead (for every timestamp in this class)
     UInt32 timestamp_now = now();
 
-    LOG_TRACE(log, "Now: {}, next fire signal: {}, max watermark: {}", timestamp_now, next_fire_signal, max_watermark);
+    LOG_TRACE(
+        log,
+        "Start: {}, now: {}, next fire signal: {}, max watermark: {}",
+        timestamp_start,
+        timestamp_now,
+        next_fire_signal,
+        max_watermark);
 
     while (next_fire_signal <= timestamp_now)
     {
         try
         {
-            if (max_watermark >= timestamp_now)
+            if (max_watermark >= timestamp_start)
                 fire(next_fire_signal);
         }
         catch (...)
@@ -1075,11 +1085,18 @@ void StorageWindowView::threadFuncFireProc()
             slide_interval *= 86400;
         next_fire_signal += slide_interval;
 
-        LOG_TRACE(log, "Now: {}, next fire signal: {}, max watermark: {}, max fired watermark: {}, slide interval: {}",
-                  timestamp_now, next_fire_signal, max_watermark, max_fired_watermark, slide_interval);
+        LOG_TRACE(
+            log,
+            "Start: {}, now: {}, next fire signal: {}, max watermark: {}, max fired watermark: {}, slide interval: {}",
+            timestamp_start,
+            timestamp_now,
+            next_fire_signal,
+            max_watermark,
+            max_fired_watermark,
+            slide_interval);
     }
 
-    if (max_watermark >= timestamp_now)
+    if (max_watermark >= timestamp_start)
         clean_cache_task->schedule();
 
     UInt64 next_fire_ms = static_cast<UInt64>(next_fire_signal) * 1000;
diff --git a/tests/queries/0_stateless/01052_window_view_proc_tumble_to_now.sh b/tests/queries/0_stateless/01052_window_view_proc_tumble_to_now.sh
index c473bf766b0..a235b60cee9 100755
--- a/tests/queries/0_stateless/01052_window_view_proc_tumble_to_now.sh
+++ b/tests/queries/0_stateless/01052_window_view_proc_tumble_to_now.sh
@@ -1,5 +1,4 @@
 #!/usr/bin/env bash
-# Tags: no-random-settings, no-parallel
 
 CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh
diff --git a/tests/queries/0_stateless/01053_window_view_proc_hop_to_now.sh b/tests/queries/0_stateless/01053_window_view_proc_hop_to_now.sh
index ca89dd9daf1..b4a647c9864 100755
--- a/tests/queries/0_stateless/01053_window_view_proc_hop_to_now.sh
+++ b/tests/queries/0_stateless/01053_window_view_proc_hop_to_now.sh
@@ -1,5 +1,4 @@
 #!/usr/bin/env bash
-# Tags: no-random-settings, no-parallel
 
 CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh
diff --git a/tests/queries/0_stateless/01054_window_view_proc_tumble_to.sh b/tests/queries/0_stateless/01054_window_view_proc_tumble_to.sh
index 67cac226de6..af9a47714b5 100755
--- a/tests/queries/0_stateless/01054_window_view_proc_tumble_to.sh
+++ b/tests/queries/0_stateless/01054_window_view_proc_tumble_to.sh
@@ -1,5 +1,4 @@
 #!/usr/bin/env bash
-# Tags: no-random-settings, no-parallel
 
 CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh
diff --git a/tests/queries/0_stateless/01055_window_view_proc_hop_to.sh b/tests/queries/0_stateless/01055_window_view_proc_hop_to.sh
index e44fc2e363c..5a7e92e6a1b 100755
--- a/tests/queries/0_stateless/01055_window_view_proc_hop_to.sh
+++ b/tests/queries/0_stateless/01055_window_view_proc_hop_to.sh
@@ -1,5 +1,4 @@
 #!/usr/bin/env bash
-# Tags: no-random-settings, no-parallel
 
 CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh
diff --git a/tests/queries/0_stateless/01056_window_view_proc_hop_watch.py b/tests/queries/0_stateless/01056_window_view_proc_hop_watch.py
index 6bb8db2c38e..e0f969050b5 100755
--- a/tests/queries/0_stateless/01056_window_view_proc_hop_watch.py
+++ b/tests/queries/0_stateless/01056_window_view_proc_hop_watch.py
@@ -20,7 +20,9 @@ with client(name="client1>", log=log) as client1, client(
     client1.expect(prompt)
     client2.expect(prompt)
 
-    client1.send("SET enable_analyzer = 0")
+    client1.send(
+        "SET enable_analyzer = 0, function_sleep_max_microseconds_per_block=10000000"
+    )
     client1.expect(prompt)
     client1.send("SET allow_experimental_window_view = 1")
     client1.expect(prompt)
@@ -28,7 +30,9 @@ with client(name="client1>", log=log) as client1, client(
     client1.expect(prompt)
     client2.send("SET allow_experimental_window_view = 1")
     client2.expect(prompt)
-    client2.send("SET enable_analyzer = 0")
+    client2.send(
+        "SET enable_analyzer = 0, function_sleep_max_microseconds_per_block=10000000"
+    )
     client2.expect(prompt)
 
     client1.send("CREATE DATABASE IF NOT EXISTS 01056_window_view_proc_hop_watch")
@@ -42,8 +46,9 @@ with client(name="client1>", log=log) as client1, client(
         "CREATE TABLE 01056_window_view_proc_hop_watch.mt(a Int32, timestamp DateTime) ENGINE=MergeTree ORDER BY tuple()"
     )
     client1.expect(prompt)
+    # Introduce a sleep call to verify that even if the push to view is slow WATCH will work
     client1.send(
-        "CREATE WINDOW VIEW 01056_window_view_proc_hop_watch.wv ENGINE Memory AS SELECT count(a) AS count FROM 01056_window_view_proc_hop_watch.mt GROUP BY hop(timestamp, INTERVAL '1' SECOND, INTERVAL '1' SECOND, 'US/Samoa') AS wid;"
+        "CREATE WINDOW VIEW 01056_window_view_proc_hop_watch.wv ENGINE Memory AS SELECT count(sleep(5)) AS count FROM 01056_window_view_proc_hop_watch.mt GROUP BY hop(timestamp, INTERVAL '1' SECOND, INTERVAL '1' SECOND, 'US/Samoa') AS wid;"
     )
     client1.expect(prompt)
 
diff --git a/tests/queries/0_stateless/01075_window_view_proc_tumble_to_now_populate.sh b/tests/queries/0_stateless/01075_window_view_proc_tumble_to_now_populate.sh
index 859b9a86a2a..220bb39602b 100755
--- a/tests/queries/0_stateless/01075_window_view_proc_tumble_to_now_populate.sh
+++ b/tests/queries/0_stateless/01075_window_view_proc_tumble_to_now_populate.sh
@@ -1,5 +1,4 @@
 #!/usr/bin/env bash
-# Tags: no-random-settings, no-parallel
 
 CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh