diff --git a/src/evdev-fallback.c b/src/evdev-fallback.c
index 28d5de99..97cf487d 100644
--- a/src/evdev-fallback.c
+++ b/src/evdev-fallback.c
@@ -68,8 +68,6 @@ fallback_notify_physical_button(struct fallback_dispatch *dispatch,
 				int button,
 				enum libinput_button_state state)
 {
-	fallback_wheel_notify_physical_button(dispatch, device, time,
-					      button, state);
 	evdev_pointer_notify_physical_button(device, time, button, state);
 }
 
diff --git a/src/evdev-fallback.h b/src/evdev-fallback.h
index 0c2f65cb..48be42a1 100644
--- a/src/evdev-fallback.h
+++ b/src/evdev-fallback.h
@@ -61,7 +61,6 @@ enum palm_state {
 
 enum wheel_state {
 	WHEEL_STATE_NONE,
-	WHEEL_STATE_PRESSED,
 	WHEEL_STATE_ACCUMULATING_SCROLL,
 	WHEEL_STATE_SCROLLING,
 };
@@ -280,13 +279,6 @@ void
 fallback_init_wheel(struct fallback_dispatch *dispatch,
 		    struct evdev_device *device);
 
-void
-fallback_wheel_notify_physical_button(struct fallback_dispatch *dispatch,
-				      struct evdev_device *device,
-				      uint64_t time,
-				      int button,
-				      enum libinput_button_state state);
-
 void
 fallback_wheel_process_relative(struct fallback_dispatch *dispatch,
 				struct evdev_device *device,
diff --git a/src/evdev-wheel.c b/src/evdev-wheel.c
index 36db2812..69984c9b 100644
--- a/src/evdev-wheel.c
+++ b/src/evdev-wheel.c
@@ -34,8 +34,6 @@
 #define WHEEL_SCROLL_TIMEOUT ms2us(500)
 
 enum wheel_event {
-	WHEEL_EVENT_PRESS,
-	WHEEL_EVENT_RELEASE,
 	WHEEL_EVENT_SCROLL_ACCUMULATED,
 	WHEEL_EVENT_SCROLL,
 	WHEEL_EVENT_SCROLL_TIMEOUT,
@@ -47,7 +45,6 @@ wheel_state_to_str(enum wheel_state state)
 {
 	switch(state) {
 	CASE_RETURN_STRING(WHEEL_STATE_NONE);
-	CASE_RETURN_STRING(WHEEL_STATE_PRESSED);
 	CASE_RETURN_STRING(WHEEL_STATE_ACCUMULATING_SCROLL);
 	CASE_RETURN_STRING(WHEEL_STATE_SCROLLING);
 	}
@@ -58,8 +55,6 @@ static inline const char*
 wheel_event_to_str(enum wheel_event event)
 {
 	switch(event) {
-	CASE_RETURN_STRING(WHEEL_EVENT_PRESS);
-	CASE_RETURN_STRING(WHEEL_EVENT_RELEASE);
 	CASE_RETURN_STRING(WHEEL_EVENT_SCROLL_ACCUMULATED);
 	CASE_RETURN_STRING(WHEEL_EVENT_SCROLL);
 	CASE_RETURN_STRING(WHEEL_EVENT_SCROLL_TIMEOUT);
@@ -96,36 +91,11 @@ wheel_handle_event_on_state_none(struct fallback_dispatch *dispatch,
 				 uint64_t time)
 {
 	switch (event) {
-	case WHEEL_EVENT_PRESS:
-		dispatch->wheel.state = WHEEL_STATE_PRESSED;
-		break;
 	case WHEEL_EVENT_SCROLL:
 		dispatch->wheel.state = WHEEL_STATE_ACCUMULATING_SCROLL;
 		break;
 	case WHEEL_EVENT_SCROLL_DIR_CHANGED:
 		break;
-	case WHEEL_EVENT_RELEASE:
-	case WHEEL_EVENT_SCROLL_ACCUMULATED:
-	case WHEEL_EVENT_SCROLL_TIMEOUT:
-		log_wheel_bug(dispatch, event);
-		break;
-	}
-}
-
-static void
-wheel_handle_event_on_state_pressed(struct fallback_dispatch *dispatch,
-				    enum wheel_event event,
-				    uint64_t time)
-{
-	switch (event) {
-	case WHEEL_EVENT_RELEASE:
-		dispatch->wheel.state = WHEEL_STATE_NONE;
-		break;
-	case WHEEL_EVENT_SCROLL:
-	case WHEEL_EVENT_SCROLL_DIR_CHANGED:
-		/* Ignore scroll while the wheel is pressed */
-		break;
-	case WHEEL_EVENT_PRESS:
 	case WHEEL_EVENT_SCROLL_ACCUMULATED:
 	case WHEEL_EVENT_SCROLL_TIMEOUT:
 		log_wheel_bug(dispatch, event);
@@ -139,9 +109,6 @@ wheel_handle_event_on_state_accumulating_scroll(struct fallback_dispatch *dispat
 						uint64_t time)
 {
 	switch (event) {
-	case WHEEL_EVENT_PRESS:
-		dispatch->wheel.state = WHEEL_STATE_PRESSED;
-		break;
 	case WHEEL_EVENT_SCROLL_ACCUMULATED:
 		dispatch->wheel.state = WHEEL_STATE_SCROLLING;
 		wheel_set_scroll_timer(dispatch, time);
@@ -152,7 +119,6 @@ wheel_handle_event_on_state_accumulating_scroll(struct fallback_dispatch *dispat
 	case WHEEL_EVENT_SCROLL_DIR_CHANGED:
 		dispatch->wheel.state = WHEEL_STATE_NONE;
 		break;
-	case WHEEL_EVENT_RELEASE:
 	case WHEEL_EVENT_SCROLL_TIMEOUT:
 		log_wheel_bug(dispatch, event);
 		break;
@@ -165,10 +131,6 @@ wheel_handle_event_on_state_scrolling(struct fallback_dispatch *dispatch,
 				      uint64_t time)
 {
 	switch (event) {
-	case WHEEL_EVENT_PRESS:
-		dispatch->wheel.state = WHEEL_STATE_PRESSED;
-		wheel_cancel_scroll_timer(dispatch);
-		break;
 	case WHEEL_EVENT_SCROLL:
 		wheel_cancel_scroll_timer(dispatch);
 		wheel_set_scroll_timer(dispatch, time);
@@ -180,7 +142,6 @@ wheel_handle_event_on_state_scrolling(struct fallback_dispatch *dispatch,
 		wheel_cancel_scroll_timer(dispatch);
 		dispatch->wheel.state = WHEEL_STATE_NONE;
 		break;
-	case WHEEL_EVENT_RELEASE:
 	case WHEEL_EVENT_SCROLL_ACCUMULATED:
 		log_wheel_bug(dispatch, event);
 		break;
@@ -198,9 +159,6 @@ wheel_handle_event(struct fallback_dispatch *dispatch,
 	case WHEEL_STATE_NONE:
 		wheel_handle_event_on_state_none(dispatch, event, time);
 		break;
-	case WHEEL_STATE_PRESSED:
-		wheel_handle_event_on_state_pressed(dispatch, event, time);
-		break;
 	case WHEEL_STATE_ACCUMULATING_SCROLL:
 		wheel_handle_event_on_state_accumulating_scroll(dispatch,
 								event,
@@ -309,17 +267,6 @@ wheel_handle_state_none(struct fallback_dispatch *dispatch,
 
 }
 
-static void
-wheel_handle_state_pressed(struct fallback_dispatch *dispatch,
-			   struct evdev_device *device,
-			   uint64_t time)
-{
-	dispatch->wheel.hi_res.x = 0;
-	dispatch->wheel.hi_res.y = 0;
-	dispatch->wheel.lo_res.x = 0;
-	dispatch->wheel.lo_res.y = 0;
-}
-
 static void
 wheel_handle_state_accumulating_scroll(struct fallback_dispatch *dispatch,
 				       struct evdev_device *device,
@@ -403,21 +350,6 @@ fallback_wheel_process_relative(struct fallback_dispatch *dispatch,
 	}
 }
 
-void
-fallback_wheel_notify_physical_button(struct fallback_dispatch *dispatch,
-				      struct evdev_device *device,
-				      uint64_t time,
-				      int button,
-				      enum libinput_button_state state)
-{
-	if (button == BTN_MIDDLE) {
-		if (state == LIBINPUT_BUTTON_STATE_PRESSED)
-			wheel_handle_event(dispatch, WHEEL_EVENT_PRESS, time);
-		else
-			wheel_handle_event(dispatch, WHEEL_EVENT_RELEASE, time);
-	}
-}
-
 void
 fallback_wheel_handle_state(struct fallback_dispatch *dispatch,
 			    struct evdev_device *device,
@@ -442,9 +374,6 @@ fallback_wheel_handle_state(struct fallback_dispatch *dispatch,
 	case WHEEL_STATE_NONE:
 		wheel_handle_state_none(dispatch, device, time);
 		break;
-	case WHEEL_STATE_PRESSED:
-		wheel_handle_state_pressed(dispatch, device, time);
-		break;
 	case WHEEL_STATE_ACCUMULATING_SCROLL:
 		wheel_handle_state_accumulating_scroll(dispatch, device, time);
 		break;
diff --git a/test/test-pointer.c b/test/test-pointer.c
index 4e383858..e5043edf 100644
--- a/test/test-pointer.c
+++ b/test/test-pointer.c
@@ -701,54 +701,6 @@ START_TEST(pointer_scroll_wheel)
 }
 END_TEST
 
-START_TEST(pointer_scroll_wheel_pressed_noscroll)
-{
-	struct litest_device *dev = litest_current_device();
-	struct libinput *li = dev->libinput;
-
-	litest_drain_events(li);
-
-	litest_button_click_debounced(dev, li, BTN_MIDDLE, true);
-	litest_drain_events(li);
-
-	for (int i = 0; i < 10; i++) {
-		litest_event(dev, EV_REL, REL_WHEEL, 1);
-		litest_event(dev, EV_REL, REL_HWHEEL, 1);
-		litest_event(dev, EV_SYN, SYN_REPORT, 0);
-	}
-
-	libinput_dispatch(li);
-
-	litest_assert_empty_queue(li);
-
-	litest_button_click_debounced(dev, li, BTN_MIDDLE, false);
-}
-END_TEST
-
-START_TEST(pointer_scroll_hi_res_wheel_pressed_noscroll)
-{
-	struct litest_device *dev = litest_current_device();
-	struct libinput *li = dev->libinput;
-
-	litest_drain_events(li);
-
-	litest_button_click_debounced(dev, li, BTN_MIDDLE, true);
-	litest_drain_events(li);
-
-	for (int i = 0; i < 10; i++) {
-		litest_event(dev, EV_REL, REL_WHEEL_HI_RES, 12);
-		litest_event(dev, EV_REL, REL_HWHEEL_HI_RES, 12);
-		litest_event(dev, EV_SYN, SYN_REPORT, 0);
-	}
-
-	libinput_dispatch(li);
-
-	litest_assert_empty_queue(li);
-
-	litest_button_click_debounced(dev, li, BTN_MIDDLE, false);
-}
-END_TEST
-
 static void
 test_hi_res_wheel_event(struct litest_device *dev, int which, int v120_amount)
 {
@@ -3575,8 +3527,6 @@ TEST_COLLECTION(pointer)
 	litest_add_for_device(pointer_button_has_no_button, LITEST_KEYBOARD);
 	litest_add(pointer_recover_from_lost_button_count, LITEST_BUTTON, LITEST_CLICKPAD);
 	litest_add(pointer_scroll_wheel, LITEST_WHEEL, LITEST_TABLET);
-	litest_add_for_device(pointer_scroll_wheel_pressed_noscroll, LITEST_MOUSE);
-	litest_add_for_device(pointer_scroll_hi_res_wheel_pressed_noscroll, LITEST_MOUSE);
 	litest_add(pointer_scroll_wheel_hires, LITEST_WHEEL, LITEST_TABLET);
 	litest_add(pointer_scroll_wheel_hires_send_only_lores_vertical, LITEST_WHEEL, LITEST_TABLET);
 	litest_add(pointer_scroll_wheel_hires_send_only_lores_horizontal, LITEST_WHEEL, LITEST_TABLET);