diff --git a/opendevin/events/observation/commands.py b/opendevin/events/observation/commands.py
index 8d87c31e50..a60ba91531 100644
--- a/opendevin/events/observation/commands.py
+++ b/opendevin/events/observation/commands.py
@@ -27,6 +27,15 @@ class CmdOutputObservation(Observation):
     def __str__(self) -> str:
         return f'**CmdOutputObservation (exit code={self.exit_code})**\n{self.content}'
 
+    def __eq__(self, other: object) -> bool:
+        """
+        Compare two CmdOutputObservation objects ignoring the command_id/pid.
+        """
+        if isinstance(other, CmdOutputObservation):
+            # for loop detection purpose, we care about running the same command, not the same pid
+            return self.command == other.command and self.exit_code == other.exit_code
+        return False
+
 
 @dataclass
 class IPythonRunCellObservation(Observation):
diff --git a/tests/unit/test_is_stuck.py b/tests/unit/test_is_stuck.py
index 2fb7cf797d..e442b0e7a6 100644
--- a/tests/unit/test_is_stuck.py
+++ b/tests/unit/test_is_stuck.py
@@ -115,8 +115,9 @@ class TestAgentController:
             ),
             (
                 CmdRunAction(command='ls'),
+                # command_id is ignored for the eq check, it could be a pid
                 CmdOutputObservation(
-                    command_id=1, command='ls', content='file1.txt\nfile2.txt'
+                    command_id=2, command='ls', content='file1.txt\nfile2.txt'
                 ),
             ),
             (
@@ -128,7 +129,7 @@ class TestAgentController:
             (
                 CmdRunAction(command='ls'),
                 CmdOutputObservation(
-                    command_id=1, command='ls', content='file1.txt\nfile2.txt'
+                    command_id=3, command='ls', content='file1.txt\nfile2.txt'
                 ),
             ),
             (
@@ -160,7 +161,8 @@ class TestAgentController:
             ),
             (
                 CmdRunAction(command='pwd'),
-                CmdOutputObservation(command_id=1, command='pwd', content='/home/user'),
+                # command_id is ignored for the eq check, it could be a pid
+                CmdOutputObservation(command_id=2, command='pwd', content='/home/user'),
             ),
             (
                 FileReadAction(path='file2.txt'),
@@ -170,7 +172,7 @@ class TestAgentController:
             (message_action, NullObservation(content='')),
             (
                 CmdRunAction(command='pwd'),
-                CmdOutputObservation(command_id=1, command='pwd', content='/home/user'),
+                CmdOutputObservation(command_id=3, command='pwd', content='/home/user'),
             ),
             (
                 FileReadAction(path='file2.txt'),
@@ -195,8 +197,9 @@ class TestAgentController:
             ),
             (
                 CmdRunAction(command='ls'),
+                # command_id is ignored for the eq check, it could be a pid
                 CmdOutputObservation(
-                    command_id=1, command='ls', content='file1.txt\nfile2.txt'
+                    command_id=2, command='ls', content='file1.txt\nfile2.txt'
                 ),
             ),
             # message from the user
@@ -204,13 +207,13 @@ class TestAgentController:
             (
                 CmdRunAction(command='ls'),
                 CmdOutputObservation(
-                    command_id=1, command='ls', content='file1.txt\nfile2.txt'
+                    command_id=3, command='ls', content='file1.txt\nfile2.txt'
                 ),
             ),
             (
                 CmdRunAction(command='ls'),
                 CmdOutputObservation(
-                    command_id=1, command='ls', content='file1.txt\nfile2.txt'
+                    command_id=4, command='ls', content='file1.txt\nfile2.txt'
                 ),
             ),
         ]