diff --git a/src/crab_verifier.cpp b/src/crab_verifier.cpp
index f1ceccd18..2cdb8116c 100644
--- a/src/crab_verifier.cpp
+++ b/src/crab_verifier.cpp
@@ -97,7 +97,18 @@ static checks_db generate_report(cfg_t& cfg, const crab::invariant_table_t& pre_
     if (thread_local_options.check_termination) {
         const auto last_inv = post_invariants.at(cfg.exit_label());
         m_db.max_loop_count = last_inv.get_loop_count_upper_bound();
+
+         // Check if the exit is unreachable, which could indicate an infinite loop
+        if (last_inv.is_bottom()) {
+            m_db.add_warning(label_t::exit, "Exit is unreachable.");
+        }
+
+        const crab::number_t max_loop_count{100000};
+        if (m_db.max_loop_count > max_loop_count) {
+            m_db.add_warning(label_t::exit, "Could not prove termination.");
+        }
     }
+
     return m_db;
 }
 
@@ -127,10 +138,6 @@ static void print_report(std::ostream& os, const checks_db& db, const Instructio
         }
     }
     os << "\n";
-    const crab::number_t max_loop_count{100000};
-    if (db.max_loop_count > max_loop_count) {
-        os << "Could not prove termination.\n";
-    }
 }
 
 static checks_db get_analysis_report(std::ostream& s, cfg_t& cfg, const crab::invariant_table_t& pre_invariants,
diff --git a/test-data/loop.yaml b/test-data/loop.yaml
index 10e5fd116..b2c4cda8f 100644
--- a/test-data/loop.yaml
+++ b/test-data/loop.yaml
@@ -186,7 +186,7 @@ post:
   - "pc[1]=[1, +oo]"
 
 messages:
-  - "Could not prove termination."
+  - "exit: Could not prove termination."
 
 ---
 test-case: realistic forward loop
@@ -266,3 +266,92 @@ post:
   - r4.uvalue-r2.svalue<=0
   - r4.uvalue-r2.uvalue<=0
   - r4.uvalue=[1, 255]
+
+---
+test-case: simple infinite loop, less than
+options: ["termination"]
+
+pre: []
+
+code:
+  <start>: |
+    r0 = 0
+    if r0 < 1 goto <start>
+    exit
+
+post: []
+
+messages:
+  - "1:2: Code is unreachable after 1:2"
+  - "exit: Exit is unreachable."
+---
+test-case: simple infinite loop, less than or equal
+options: ["termination"]
+
+pre: []
+
+code:
+  <start>: |
+    r0 = 0
+    if r0 <= 1 goto <start>
+    exit
+
+post: []
+
+messages:
+  - "1:2: Code is unreachable after 1:2"
+  - "exit: Exit is unreachable."
+
+---
+test-case: simple infinite loop, equal
+options: ["termination"]
+
+pre: []
+
+code:
+  <start>: |
+    r0 = 0
+    if r0 == 0 goto <start>
+    exit
+
+post: []
+
+messages:
+  - "1:2: Code is unreachable after 1:2"
+  - "exit: Exit is unreachable."
+
+---
+test-case: simple infinite loop, greater than
+options: ["termination"]
+
+pre: []
+
+code:
+  <start>: |
+    r0 = 1
+    if r0 > 0 goto <start>
+    exit
+
+post: []
+
+messages:
+  - "1:2: Code is unreachable after 1:2"
+  - "exit: Exit is unreachable."
+
+---
+test-case: simple infinite loop, greater than or equal
+options: ["termination"]
+
+pre: []
+
+code:
+  <start>: |
+    r0 = 1
+    if r0 >= 0 goto <start>
+    exit
+
+post: []
+
+messages:
+  - "1:2: Code is unreachable after 1:2"
+  - "exit: Exit is unreachable."