diff --git a/plugins/amda/tests/FuzzingDefs.cpp b/plugins/amda/tests/FuzzingDefs.cpp
index 4cc54cf..b4f80f7 100644
--- a/plugins/amda/tests/FuzzingDefs.cpp
+++ b/plugins/amda/tests/FuzzingDefs.cpp
@@ -36,3 +36,15 @@ VariableState &FuzzingState::variableState(VariableId id)
     return m_VariablesPool.at(id);
 }
 
+SyncGroupId FuzzingState::syncGroupId(VariableId variableId) const
+{
+    auto end = m_SyncGroupsPool.cend();
+    auto it
+        = std::find_if(m_SyncGroupsPool.cbegin(), end, [&variableId](const auto &syncGroupEntry) {
+              const auto &syncGroup = syncGroupEntry.second;
+              return syncGroup.m_Variables.find(variableId) != syncGroup.m_Variables.end();
+          });
+
+    return it != end ? it->first : SyncGroupId{};
+}
+
diff --git a/plugins/amda/tests/FuzzingDefs.h b/plugins/amda/tests/FuzzingDefs.h
index 965b7a7..b488421 100644
--- a/plugins/amda/tests/FuzzingDefs.h
+++ b/plugins/amda/tests/FuzzingDefs.h
@@ -93,6 +93,10 @@ struct FuzzingState {
     const VariableState &variableState(VariableId id) const;
     VariableState &variableState(VariableId id);
 
+    /// @return the identifier of the synchronization group in which the variable passed in
+    /// parameter is located. If the variable is not in any group, returns an invalid identifier
+    SyncGroupId syncGroupId(VariableId variableId) const;
+
 
     VariablesPool m_VariablesPool;
     SyncGroupsPool m_SyncGroupsPool;
diff --git a/plugins/amda/tests/FuzzingOperations.cpp b/plugins/amda/tests/FuzzingOperations.cpp
index 113da22..4aaf8e3 100644
--- a/plugins/amda/tests/FuzzingOperations.cpp
+++ b/plugins/amda/tests/FuzzingOperations.cpp
@@ -152,6 +152,9 @@ struct MoveOperation : public IFuzzingOperation {
 struct SynchronizeOperation : public IFuzzingOperation {
     bool canExecute(VariableId variableId, const FuzzingState &fuzzingState) const override
     {
+        auto variable = fuzzingState.variableState(variableId).m_Variable;
+        return variable != nullptr && !fuzzingState.m_SyncGroupsPool.empty()
+               && fuzzingState.syncGroupId(variableId).isNull();
     }
 
     void execute(VariableId variableId, FuzzingState &fuzzingState,
@@ -163,6 +166,8 @@ struct SynchronizeOperation : public IFuzzingOperation {
 struct DesynchronizeOperation : public IFuzzingOperation {
     bool canExecute(VariableId variableId, const FuzzingState &fuzzingState) const override
     {
+        auto variable = fuzzingState.variableState(variableId).m_Variable;
+        return variable != nullptr && !fuzzingState.syncGroupId(variableId).isNull();
     }
 
     void execute(VariableId variableId, FuzzingState &fuzzingState,