diff --git a/electrum/gui/qt/transaction_dialog.py b/electrum/gui/qt/transaction_dialog.py
index 1ef08796e..13680efeb 100644
--- a/electrum/gui/qt/transaction_dialog.py
+++ b/electrum/gui/qt/transaction_dialog.py
@@ -70,9 +70,6 @@ class QTextEditWithDefaultSize(QTextEdit):
         return QSize(0, 100)
 
 
-SAVE_BUTTON_ENABLED_TOOLTIP = _("Save transaction offline")
-SAVE_BUTTON_DISABLED_TOOLTIP = _("Please sign this transaction in order to save it")
-
 
 _logger = get_logger(__name__)
 dialogs = []  # Otherwise python randomly garbage collects the dialogs...
@@ -142,12 +139,6 @@ class BaseTxDialog(QDialog, MessageBoxMixin):
         b.clicked.connect(self.do_broadcast)
 
         self.save_button = b = QPushButton(_("Save"))
-        save_button_disabled = False #not tx.is_complete()
-        b.setDisabled(save_button_disabled)
-        if save_button_disabled:
-            b.setToolTip(SAVE_BUTTON_DISABLED_TOOLTIP)
-        else:
-            b.setToolTip(SAVE_BUTTON_ENABLED_TOOLTIP)
         b.clicked.connect(self.save)
 
         self.cancel_button = b = QPushButton(_("Close"))
@@ -295,8 +286,6 @@ class BaseTxDialog(QDialog, MessageBoxMixin):
             if self.tx.is_complete():
                 self.prompt_if_unsaved = True
                 self.saved = False
-                self.save_button.setDisabled(False)
-                self.save_button.setToolTip(SAVE_BUTTON_ENABLED_TOOLTIP)
             self.update()
             self.main_window.pop_top_level_window(self)
 
@@ -449,6 +438,12 @@ class BaseTxDialog(QDialog, MessageBoxMixin):
             else:
                 widget.setVisible(show_psbt_only_widgets)
 
+        self.save_button.setEnabled(tx_details.can_save_as_local)
+        if tx_details.can_save_as_local:
+            self.save_button.setToolTip(_("Save transaction offline"))
+        else:
+            self.save_button.setToolTip(_("Transaction already saved or not yet signed."))
+
         run_hook('transaction_dialog_update', self)
 
     def update_io(self):
diff --git a/electrum/wallet.py b/electrum/wallet.py
index 3e6c9ab98..6be35d1a8 100644
--- a/electrum/wallet.py
+++ b/electrum/wallet.py
@@ -202,6 +202,7 @@ class TxWalletDetails(NamedTuple):
     label: str
     can_broadcast: bool
     can_bump: bool
+    can_save_as_local: bool
     amount: Optional[int]
     fee: Optional[int]
     tx_mined_status: TxMinedInfo
@@ -464,6 +465,7 @@ class Abstract_Wallet(AddressSynchronizer):
         exp_n = None
         can_broadcast = False
         can_bump = False
+        can_save_as_local = False
         label = ''
         tx_hash = tx.txid()
         tx_mined_status = self.get_tx_height(tx_hash)
@@ -491,6 +493,7 @@ class Abstract_Wallet(AddressSynchronizer):
             else:
                 status = _("Signed")
                 can_broadcast = self.network is not None
+                can_save_as_local = is_relevant
         else:
             s, r = tx.signature_count()
             status = _("Unsigned") if s == 0 else _('Partially signed') + ' (%d/%d)'%(s,r)
@@ -512,6 +515,7 @@ class Abstract_Wallet(AddressSynchronizer):
             label=label,
             can_broadcast=can_broadcast,
             can_bump=can_bump,
+            can_save_as_local=can_save_as_local,
             amount=amount,
             fee=fee,
             tx_mined_status=tx_mined_status,