diff --git a/tests/unit/type/list.tcl b/tests/unit/type/list.tcl
index 6a02960d4..2344b26fd 100644
--- a/tests/unit/type/list.tcl
+++ b/tests/unit/type/list.tcl
@@ -1265,9 +1265,9 @@ foreach {pop} {BLPOP BLMPOP_LEFT} {
         assert_equal {} [$rd read]
         set end [clock milliseconds]
 
-        # In the past, this time would have been 1000+200, in order to avoid
-        # timing issues, we increase the range a bit.
-        assert_range [expr $end-$start] 1000 1100
+        # Before the fix in #13004, this time would have been 1200+ (i.e. more than 1200ms),
+        # now it should be 1000, but in order to avoid timing issues, we increase the range a bit.
+        assert_range [expr $end-$start] 1000 1150
 
         r debug set-active-expire 1
         $rd close
diff --git a/tests/unit/type/stream-cgroups.tcl b/tests/unit/type/stream-cgroups.tcl
index 242059ef7..46e0b05c5 100644
--- a/tests/unit/type/stream-cgroups.tcl
+++ b/tests/unit/type/stream-cgroups.tcl
@@ -518,9 +518,9 @@ start_server {
         assert_equal {} [$rd2 read]
         set end [clock milliseconds]
 
-        # In the past, this time would have been 1000+200, in order to avoid
-        # timing issues, we increase the range a bit.
-        assert_range [expr $end-$start] 1000 1100
+        # Before the fix in #13004, this time would have been 1200+ (i.e. more than 1200ms),
+        # now it should be 1000, but in order to avoid timing issues, we increase the range a bit.
+        assert_range [expr $end-$start] 1000 1150
 
         $rd1 close
         $rd2 close
diff --git a/tests/unit/type/zset.tcl b/tests/unit/type/zset.tcl
index 998633fb9..0290acbbf 100644
--- a/tests/unit/type/zset.tcl
+++ b/tests/unit/type/zset.tcl
@@ -2009,9 +2009,9 @@ start_server {tags {"zset"}} {
             assert_equal {} [$rd read]
             set end [clock milliseconds]
 
-            # In the past, this time would have been 1000+200, in order to avoid
-            # timing issues, we increase the range a bit.
-            assert_range [expr $end-$start] 1000 1100
+            # Before the fix in #13004, this time would have been 1200+ (i.e. more than 1200ms),
+            # now it should be 1000, but in order to avoid timing issues, we increase the range a bit.
+            assert_range [expr $end-$start] 1000 1150
 
             r debug set-active-expire 1
             $rd close