diff --git a/t/t1300-repo-config.sh b/t/t1300-repo-config.sh
index 074f2f2e3e..d0ab8ffe1b 100755
--- a/t/t1300-repo-config.sh
+++ b/t/t1300-repo-config.sh
@@ -701,13 +701,13 @@ cat >expect <<\EOF
 	trailingtilde = foo~
 EOF
 
-test_expect_success 'set --path' '
+test_expect_success NOT_MINGW 'set --path' '
 	git config --path path.home "~/" &&
 	git config --path path.normal "/dev/null" &&
 	git config --path path.trailingtilde "foo~" &&
 	test_cmp expect .git/config'
 
-if test "${HOME+set}"
+if test_have_prereq NOT_MINGW && test "${HOME+set}"
 then
 	test_set_prereq HOMEVAR
 fi
@@ -730,7 +730,7 @@ cat >expect <<\EOF
 foo~
 EOF
 
-test_expect_success 'get --path copes with unset $HOME' '
+test_expect_success NOT_MINGW 'get --path copes with unset $HOME' '
 	(
 		unset HOME;
 		test_must_fail git config --get --path path.home \
diff --git a/t/t5503-tagfollow.sh b/t/t5503-tagfollow.sh
index 8a298a655f..b6b1fc30cd 100755
--- a/t/t5503-tagfollow.sh
+++ b/t/t5503-tagfollow.sh
@@ -4,14 +4,9 @@ test_description='test automatic tag following'
 
 . ./test-lib.sh
 
-case $(uname -s) in
-*MINGW*)
+if !test_have_prereq NOT_MINGW; then
 	say "GIT_DEBUG_SEND_PACK not supported - skipping tests"
-	;;
-*)
-	test_set_prereq NOT_MINGW
-	;;
-esac
+fi
 
 # End state of the repository:
 #
diff --git a/t/test-lib.sh b/t/test-lib.sh
index 830e5e7360..a85e7954ad 100644
--- a/t/test-lib.sh
+++ b/t/test-lib.sh
@@ -975,6 +975,7 @@ case $(uname -s) in
 	test_set_prereq POSIXPERM
 	test_set_prereq BSLASHPSPEC
 	test_set_prereq EXECKEEPSPID
+	test_set_prereq NOT_MINGW
 	;;
 esac