diff --git a/src/aiida_quantumespresso_hp/workflows/hubbard.py b/src/aiida_quantumespresso_hp/workflows/hubbard.py
index 7673964..d517163 100644
--- a/src/aiida_quantumespresso_hp/workflows/hubbard.py
+++ b/src/aiida_quantumespresso_hp/workflows/hubbard.py
@@ -421,6 +421,22 @@ def get_pseudos(self) -> dict:
 
         return results
 
+    def relabel_hubbard_structure(self, workchain) -> None:
+        """Relabel the Hubbard structure if new types have been detected."""
+        from aiida_quantumespresso.utils.hubbard import is_intersite_hubbard
+
+        if not is_intersite_hubbard(workchain.outputs.hubbard_structure.hubbard):
+            for site in workchain.outputs.hubbard.dict.sites:
+                if not site['type'] == site['new_type']:
+                    result = structure_relabel_kinds(
+                        self.ctx.current_hubbard_structure, workchain.outputs.hubbard, self.ctx.current_magnetic_moments
+                    )
+                    self.ctx.current_hubbard_structure = result['hubbard_structure']
+                    if self.ctx.current_magnetic_moments is not None:
+                        self.ctx.current_magnetic_moments = result['starting_magnetization']
+                    self.report('new types have been detected: relabeling the structure.')
+                    return
+
     def run_relax(self):
         """Run the PwRelaxWorkChain to run a relax PwCalculation."""
         inputs = self.get_inputs(PwRelaxWorkChain, 'relax')
@@ -578,14 +594,14 @@ def inspect_hp(self):
 
         if not self.should_check_convergence():
             self.ctx.current_hubbard_structure = workchain.outputs.hubbard_structure
+            self.relabel_hubbard_structure(workchain)
+
             if not self.inputs.meta_convergence:
                 self.report('meta convergence is switched off, so not checking convergence of Hubbard parameters.')
                 self.ctx.is_converged = True
 
     def check_convergence(self):
         """Check the convergence of the Hubbard parameters."""
-        from aiida_quantumespresso.utils.hubbard import is_intersite_hubbard
-
         workchain = self.ctx.workchains_hp[-1]
 
         # We store in memory the parameters before relabelling to make the comparison easier.
@@ -601,18 +617,7 @@ def check_convergence(self):
 
         # We check if new types were created, in which case we relabel the `HubbardStructureData`
         self.ctx.current_hubbard_structure = workchain.outputs.hubbard_structure
-
-        if not is_intersite_hubbard(workchain.outputs.hubbard_structure.hubbard):
-            for site in workchain.outputs.hubbard.dict.sites:
-                if not site['type'] == site['new_type']:
-                    self.report('new types have been detected: relabeling the structure and starting new iteration.')
-                    result = structure_relabel_kinds(
-                        self.ctx.current_hubbard_structure, workchain.outputs.hubbard, self.ctx.current_magnetic_moments
-                    )
-                    self.ctx.current_hubbard_structure = result['hubbard_structure']
-                    if self.ctx.current_magnetic_moments is not None:
-                        self.ctx.current_magnetic_moments = result['starting_magnetization']
-                    break
+        self.relabel_hubbard_structure(workchain)
 
         if not len(ref_params) == len(new_params):
             self.report('The new and old Hubbard parameters have different lenghts. Assuming to be at the first cycle.')
diff --git a/tests/workflows/test_hubbard.py b/tests/workflows/test_hubbard.py
index 2a06584..c24802c 100644
--- a/tests/workflows/test_hubbard.py
+++ b/tests/workflows/test_hubbard.py
@@ -227,6 +227,41 @@ def test_skip_relax_iterations(generate_workchain_hubbard, generate_inputs_hubba
     assert process.should_check_convergence()
 
 
+@pytest.mark.usefixtures('aiida_profile')
+def test_skip_relax_iterations_relabeling(
+    generate_workchain_hubbard, generate_inputs_hubbard, generate_hp_workchain_node, generate_hubbard_structure
+):
+    """Test `SelfConsistentHubbardWorkChain` when skipping the first relax iterations and relabeling is needed."""
+    from aiida.orm import Bool, Int
+
+    inputs = generate_inputs_hubbard()
+    inputs['skip_relax_iterations'] = Int(1)
+    inputs['meta_convergence'] = Bool(True)
+    process = generate_workchain_hubbard(inputs=inputs)
+    process.setup()
+
+    current_hubbard_structure = generate_hubbard_structure(u_value=1, only_u=True)
+    process.current_hubbard_structure = current_hubbard_structure
+    # 1
+    process.update_iteration()
+    assert process.ctx.skip_relax_iterations == 1
+    assert process.ctx.iteration == 1
+    assert not process.should_run_relax()
+    assert not process.should_check_convergence()
+    process.ctx.workchains_hp = [generate_hp_workchain_node(relabel=True, u_value=1, only_u=True)]
+    process.inspect_hp()
+    assert process.ctx.current_hubbard_structure.get_kind_names(
+    ) != process.ctx.workchains_hp[-1].outputs.hubbard_structure.get_kind_names()
+    # 2
+    process.update_iteration()
+    assert process.should_run_relax()
+    assert process.should_check_convergence()
+    # 3
+    process.update_iteration()
+    assert process.should_run_relax()
+    assert process.should_check_convergence()
+
+
 @pytest.mark.usefixtures('aiida_profile')
 def test_relax_frequency(generate_workchain_hubbard, generate_inputs_hubbard):
     """Test `SelfConsistentHubbardWorkChain` when `relax_frequency` is different from 1."""