diff --git a/t/t0000-basic.sh b/t/t0000-basic.sh
index 9ca0818cbe..4c01f60dd3 100755
--- a/t/t0000-basic.sh
+++ b/t/t0000-basic.sh
@@ -274,23 +274,23 @@ test_expect_success 'pretend we have a mix of all possible results' "
 
 test_expect_success C_LOCALE_OUTPUT 'test --verbose' '
 	test_must_fail run_sub_test_lib_test \
-		test-verbose "test verbose" --verbose <<-\EOF &&
+		t1234-verbose "test verbose" --verbose <<-\EOF &&
 	test_expect_success "passing test" true
 	test_expect_success "test with output" "echo foo"
 	test_expect_success "failing test" false
 	test_done
 	EOF
-	mv test-verbose/out test-verbose/out+ &&
-	grep -v "^Initialized empty" test-verbose/out+ >test-verbose/out &&
-	check_sub_test_lib_test test-verbose <<-\EOF
-	> expecting success: true
+	mv t1234-verbose/out t1234-verbose/out+ &&
+	grep -v "^Initialized empty" t1234-verbose/out+ >t1234-verbose/out &&
+	check_sub_test_lib_test t1234-verbose <<-\EOF
+	> expecting success of 1234.1 '\''passing test'\'': true
 	> ok 1 - passing test
 	> Z
-	> expecting success: echo foo
+	> expecting success of 1234.2 '\''test with output'\'': echo foo
 	> foo
 	> ok 2 - test with output
 	> Z
-	> expecting success: false
+	> expecting success of 1234.3 '\''failing test'\'': false
 	> not ok 3 - failing test
 	> #	false
 	> Z
@@ -301,17 +301,17 @@ test_expect_success C_LOCALE_OUTPUT 'test --verbose' '
 
 test_expect_success 'test --verbose-only' '
 	test_must_fail run_sub_test_lib_test \
-		test-verbose-only-2 "test verbose-only=2" \
+		t2345-verbose-only-2 "test verbose-only=2" \
 		--verbose-only=2 <<-\EOF &&
 	test_expect_success "passing test" true
 	test_expect_success "test with output" "echo foo"
 	test_expect_success "failing test" false
 	test_done
 	EOF
-	check_sub_test_lib_test test-verbose-only-2 <<-\EOF
+	check_sub_test_lib_test t2345-verbose-only-2 <<-\EOF
 	> ok 1 - passing test
 	> Z
-	> expecting success: echo foo
+	> expecting success of 2345.2 '\''test with output'\'': echo foo
 	> foo
 	> ok 2 - test with output
 	> Z
diff --git a/t/test-lib-functions.sh b/t/test-lib-functions.sh
index e0b3f28d3a..87bf3a2287 100644
--- a/t/test-lib-functions.sh
+++ b/t/test-lib-functions.sh
@@ -580,7 +580,7 @@ test_expect_failure () {
 	export test_prereq
 	if ! test_skip "$@"
 	then
-		say >&3 "checking known breakage: $2"
+		say >&3 "checking known breakage of $TEST_NUMBER.$test_count '$1': $2"
 		if test_run_ "$2" expecting_failure
 		then
 			test_known_broken_ok_ "$1"
@@ -600,7 +600,7 @@ test_expect_success () {
 	export test_prereq
 	if ! test_skip "$@"
 	then
-		say >&3 "expecting success: $2"
+		say >&3 "expecting success of $TEST_NUMBER.$test_count '$1': $2"
 		if test_run_ "$2"
 		then
 			test_ok_ "$1"
diff --git a/t/test-lib.sh b/t/test-lib.sh
index 30b07e310f..a9d45642a5 100644
--- a/t/test-lib.sh
+++ b/t/test-lib.sh
@@ -212,6 +212,8 @@ fi
 
 TEST_STRESS_JOB_SFX="${GIT_TEST_STRESS_JOB_NR:+.stress-$GIT_TEST_STRESS_JOB_NR}"
 TEST_NAME="$(basename "$0" .sh)"
+TEST_NUMBER="${TEST_NAME%%-*}"
+TEST_NUMBER="${TEST_NUMBER#t}"
 TEST_RESULTS_DIR="$TEST_OUTPUT_DIRECTORY/test-results"
 TEST_RESULTS_BASE="$TEST_RESULTS_DIR/$TEST_NAME$TEST_STRESS_JOB_SFX"
 TRASH_DIRECTORY="trash directory.$TEST_NAME$TEST_STRESS_JOB_SFX"