diff --git a/tests/Makefile.include b/tests/Makefile.include
index 8434a33fe6..8e8ee58493 100644
--- a/tests/Makefile.include
+++ b/tests/Makefile.include
@@ -16,7 +16,7 @@ ifneq ($(filter $(all-check-targets), check-softfloat),)
 	@echo " $(MAKE) check-tcg            Run TCG tests"
 	@echo " $(MAKE) check-softfloat      Run FPU emulation tests"
 endif
-	@echo " $(MAKE) check-acceptance     Run acceptance (functional) tests for currently configured targets"
+	@echo " $(MAKE) check-avocado        Run avocado (integration) tests for currently configured targets"
 	@echo
 	@echo " $(MAKE) check-report.tap     Generates an aggregated TAP test report"
 	@echo " $(MAKE) check-venv           Creates a Python venv for tests"
@@ -24,7 +24,7 @@ endif
 	@echo
 	@echo "The following are useful for CI builds"
 	@echo " $(MAKE) check-build          Build most test binaris"
-	@echo " $(MAKE) get-vm-images        Downloads all images used by acceptance tests, according to configured targets (~350 MB each, 1.5 GB max)"
+	@echo " $(MAKE) get-vm-images        Downloads all images used by avocado tests, according to configured targets (~350 MB each, 1.5 GB max)"
 	@echo
 	@echo
 	@echo "The variable SPEED can be set to control the gtester speed setting."
@@ -83,7 +83,7 @@ clean-tcg: $(CLEAN_TCG_TARGET_RULES)
 
 # Python venv for running tests
 
-.PHONY: check-venv check-acceptance
+.PHONY: check-venv check-avocado check-acceptance check-acceptance-deprecated-warning
 
 TESTS_VENV_DIR=$(BUILD_DIR)/tests/venv
 TESTS_VENV_REQ=$(SRC_PATH)/tests/requirements.txt
@@ -127,12 +127,12 @@ get-vm-image-fedora-31-%: check-venv
 	$(call quiet-command, \
              $(TESTS_VENV_DIR)/bin/python -m avocado vmimage get \
              --distro=fedora --distro-version=31 --arch=$*, \
-	"AVOCADO", "Downloading acceptance tests VM image for $*")
+	"AVOCADO", "Downloading avocado tests VM image for $*")
 
 # download all vm images, according to defined targets
 get-vm-images: check-venv $(patsubst %,get-vm-image-fedora-31-%, $(FEDORA_31_DOWNLOAD))
 
-check-acceptance: check-venv $(TESTS_RESULTS_DIR) get-vm-images
+check-avocado: check-venv $(TESTS_RESULTS_DIR) get-vm-images
 	$(call quiet-command, \
             $(TESTS_VENV_DIR)/bin/python -m avocado \
             --show=$(AVOCADO_SHOW) run --job-results-dir=$(TESTS_RESULTS_DIR) \
@@ -142,6 +142,13 @@ check-acceptance: check-venv $(TESTS_RESULTS_DIR) get-vm-images
             $(if $(GITLAB_CI),,--failfast) $(AVOCADO_TESTS), \
             "AVOCADO", "tests/acceptance")
 
+check-acceptance-deprecated-warning:
+	@echo
+	@echo "Note '$(MAKE) check-acceptance' is deprecated, use '$(MAKE) check-avocado' instead."
+	@echo
+
+check-acceptance: check-acceptance-deprecated-warning | check-avocado
+
 # Consolidated targets
 
 .PHONY: check-block check check-clean get-vm-images