diff --git a/TODO.md b/TODO.md
index 6b2797f6..290702bb 100644
--- a/TODO.md
+++ b/TODO.md
@@ -26,6 +26,7 @@
   - Message position after daybreak delegate  (fixed by commit 57b1313 ?)
   - [hr not working](https://bugreports.qt.io/browse/QTBUG-74342)
   - Terrible performance using `QT_QPA_PLATFORM=wayland-egl`, must use `xcb`
+  - Verify big avatars aren't downloaded uselessly
 
 - UI
   - Set an explicit placeholder text color for text field/area
@@ -35,7 +36,6 @@
   - Room header descriptions: styled text
 
   - Message selection
-    - Copy link
     - Make scroll wheel usable
     - Copy to X11 selection
     - Images don't load correctly in TextEdit
diff --git a/src/icons/thin/copy-link.svg b/src/icons/thin/copy-link.svg
new file mode 100644
index 00000000..75c9bc47
--- /dev/null
+++ b/src/icons/thin/copy-link.svg
@@ -0,0 +1,3 @@
+<svg height="24" viewBox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg">
+    <path d="m6.188 8.719c.439-.439.926-.801 1.444-1.087 2.887-1.591 6.589-.745 8.445 2.069l-2.246 2.245c-.644-1.469-2.243-2.305-3.834-1.949-.599.134-1.168.433-1.633.898l-4.304 4.306c-1.307 1.307-1.307 3.433 0 4.74s3.433 1.307 4.74 0l1.327-1.327c1.207.479 2.501.67 3.779.575l-2.929 2.929c-2.511 2.511-6.582 2.511-9.093 0s-2.511-6.582 0-9.093zm6.836-6.836-2.929 2.929c1.277-.096 2.572.096 3.779.574l1.326-1.326c1.307-1.307 3.433-1.307 4.74 0s1.307 3.433 0 4.74l-4.305 4.305c-1.311 1.311-3.44 1.3-4.74 0-.303-.303-.564-.68-.727-1.051l-2.246 2.245c.236.358.481.667.796.982.812.812 1.846 1.417 3.036 1.704 1.542.371 3.194.166 4.613-.617.518-.286 1.005-.648 1.444-1.087l4.304-4.305c2.512-2.511 2.512-6.582.001-9.093-2.511-2.51-6.581-2.51-9.092 0z"/>
+</svg>
diff --git a/src/icons/thin/copy.svg b/src/icons/thin/copy-text.svg
similarity index 100%
rename from src/icons/thin/copy.svg
rename to src/icons/thin/copy-text.svg
diff --git a/src/qml/Base/HSelectableLabelContainer.qml b/src/qml/Base/HSelectableLabelContainer.qml
index c67cb266..37deec87 100644
--- a/src/qml/Base/HSelectableLabelContainer.qml
+++ b/src/qml/Base/HSelectableLabelContainer.qml
@@ -38,7 +38,6 @@ FocusScope {
 
     readonly property alias dragPoint: dragHandler.centroid
     readonly property alias dragPosition: dragHandler.centroid.position
-    readonly property alias contextMenu: contextMenu
 
 
     function clearSelection() {
@@ -74,23 +73,5 @@ FocusScope {
     TapHandler {
         acceptedButtons: Qt.LeftButton
         onTapped: clearSelection()
-        onLongPressed: contextMenu.popup()
-    }
-
-    TapHandler {
-        acceptedButtons: Qt.RightButton
-        onTapped: contextMenu.popup()
-        onLongPressed: contextMenu.popup()
-    }
-
-    HMenu {
-        id: contextMenu
-
-        HMenuItem {
-            icon.name: "copy"
-            text: qsTr("Copy")
-            enabled: Boolean(joinedSelection)
-            onTriggered: Utils.copyToClipboard(joinedSelection)
-        }
     }
 }
diff --git a/src/qml/Chat/Timeline/EventContent.qml b/src/qml/Chat/Timeline/EventContent.qml
index a387e9d5..d09e5d31 100644
--- a/src/qml/Chat/Timeline/EventContent.qml
+++ b/src/qml/Chat/Timeline/EventContent.qml
@@ -7,6 +7,9 @@ Row {
     id: eventContent
     spacing: theme.spacing / 2
 
+    readonly property string hoveredLink:
+        nameLabel.hoveredLink || contentLabel.hoveredLink
+
     readonly property string eventText: Utils.processedEventText(model)
     readonly property string eventTime: Utils.formatTime(model.date)
     readonly property int eventTimeSpaces: 2
diff --git a/src/qml/Chat/Timeline/EventDelegate.qml b/src/qml/Chat/Timeline/EventDelegate.qml
index b60b3b91..788ed518 100644
--- a/src/qml/Chat/Timeline/EventDelegate.qml
+++ b/src/qml/Chat/Timeline/EventDelegate.qml
@@ -60,7 +60,51 @@ Column {
     }
 
     EventContent {
+        id: eventContent
         x: onRight ? parent.width - width : 0
+
         Behavior on x { HNumberAnimation {} }
     }
+
+
+    TapHandler {
+        acceptedButtons: Qt.RightButton
+        onTapped: {
+            contextMenu.link = eventContent.hoveredLink
+            contextMenu.popup()
+        }
+    }
+
+    TapHandler {
+        acceptedButtons: Qt.LeftButton | Qt.RightButton
+        onLongPressed: {
+            contextMenu.link = eventContent.hoveredLink
+            contextMenu.popup()
+        }
+    }
+
+    HMenu {
+        id: contextMenu
+
+        property string link: ""
+
+        onClosed: link = ""
+
+        HMenuItem {
+            id: copyLink
+            icon.name: "copy-link"
+            text: qsTr("Copy link address")
+            visible: Boolean(contextMenu.link)
+            onTriggered: Utils.copyToClipboard(contextMenu.link)
+        }
+
+        HMenuItem {
+            icon.name: "copy-text"
+            text: qsTr("Copy text")
+            visible: enabled || ! copyLink.visible
+            enabled: Boolean(selectableLabelContainer.joinedSelection)
+            onTriggered:
+                Utils.copyToClipboard(selectableLabelContainer.joinedSelection)
+        }
+    }
 }