diff --git a/t/t0300-credentials.sh b/t/t0300-credentials.sh
index 07aa834d33..64ead1571a 100755
--- a/t/t0300-credentials.sh
+++ b/t/t0300-credentials.sh
@@ -675,7 +675,9 @@ test_expect_success 'match percent-encoded values' '
 test_expect_success 'match percent-encoded UTF-8 values in path' '
 	test_config credential.https://example.com.useHttpPath true &&
 	test_config credential.https://example.com/perú.git.helper "$HELPER" &&
-	check fill <<-\EOF
+	# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+	# that contain multibyte chars.
+	check fill <<-EOF
 	url=https://example.com/per%C3%BA.git
 	--
 	protocol=https
diff --git a/t/t3430-rebase-merges.sh b/t/t3430-rebase-merges.sh
index cc627e34a7..84b2d0e664 100755
--- a/t/t3430-rebase-merges.sh
+++ b/t/t3430-rebase-merges.sh
@@ -507,9 +507,11 @@ test_expect_success 'octopus merges' '
 	git rebase -i --force-rebase -r HEAD^^ &&
 	test "Hank" = "$(git show -s --format=%an HEAD)" &&
 	test "$before" != $(git rev-parse HEAD) &&
-	test_cmp_graph HEAD^^.. <<-\EOF
+	# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+	# that contain multibyte chars.
+	test_cmp_graph HEAD^^.. <<-EOF
 	*-.   Tüntenfüsch
-	|\ \
+	|\\ \\
 	| | * three
 	| * | two
 	| |/
diff --git a/t/t3902-quoted.sh b/t/t3902-quoted.sh
index f528008c36..8660ec5cb0 100755
--- a/t/t3902-quoted.sh
+++ b/t/t3902-quoted.sh
@@ -60,16 +60,18 @@ With SP in it
 "\346\277\261\351\207\216\347\264\224"
 EOF
 
-cat >expect.raw <<\EOF
+# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+# that contain multibyte chars.
+cat >expect.raw <<EOF
 Name
-"Name and a\nLF"
-"Name and an\tHT"
-"Name\""
+"Name and a\\nLF"
+"Name and an\\tHT"
+"Name\\""
 With SP in it
-"濱野\t純"
-"濱野\n純"
+"濱野\\t純"
+"濱野\\n純"
 濱野 純
-"濱野\"純"
+"濱野\\"純"
 濱野/file
 濱野純
 EOF
diff --git a/t/t4014-format-patch.sh b/t/t4014-format-patch.sh
index 7517094bd6..0b89d127b5 100755
--- a/t/t4014-format-patch.sh
+++ b/t/t4014-format-patch.sh
@@ -1410,7 +1410,9 @@ test_expect_success 'format-patch wraps extremely long from-header (rfc2047)' '
 	check_author "Foö Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar"
 '
 
-cat >expect <<'EOF'
+# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+# that contain multibyte chars.
+cat >expect <<EOF
 From: Foö Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar
  Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo Bar Foo
  Bar Foo Bar Foo Bar Foo Bar <author@example.com>
@@ -1425,7 +1427,9 @@ test_expect_success 'format-patch wraps extremely long from-header (non-ASCII wi
 	test_cmp expect actual
 '
 
-cat >expect <<'EOF'
+# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+# that contain multibyte chars.
+cat >expect <<EOF
 Subject: [PATCH] Foö
 EOF
 test_expect_success 'subject lines are unencoded with --no-encode-email-headers' '
@@ -1437,7 +1441,9 @@ test_expect_success 'subject lines are unencoded with --no-encode-email-headers'
 	test_cmp expect actual
 '
 
-cat >expect <<'EOF'
+# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+# that contain multibyte chars.
+cat >expect <<EOF
 Subject: [PATCH] Foö
 EOF
 test_expect_success 'subject lines are unencoded with format.encodeEmailHeaders=false' '
@@ -1656,7 +1662,9 @@ test_expect_success 'in-body headers trigger content encoding' '
 	test_env GIT_AUTHOR_NAME="éxötìc" test_commit exotic &&
 	test_when_finished "git reset --hard HEAD^" &&
 	git format-patch -1 --stdout --from >patch &&
-	cat >expect <<-\EOF &&
+	# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+	# that contain multibyte chars.
+	cat >expect <<-EOF &&
 	From: C O Mitter <committer@example.com>
 	Content-Type: text/plain; charset=UTF-8
 
diff --git a/t/t4201-shortlog.sh b/t/t4201-shortlog.sh
index 5f23fc147b..9f41d56d9a 100755
--- a/t/t4201-shortlog.sh
+++ b/t/t4201-shortlog.sh
@@ -105,7 +105,9 @@ test_expect_success 'output from user-defined format is re-wrapped' '
 '
 
 test_expect_success !MINGW,ICONV 'shortlog wrapping' '
-	cat >expect <<\EOF &&
+	# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+	# that contain multibyte chars.
+	cat >expect <<EOF &&
 A U Thor (5):
       Test
       This is a very, very long first line for the commit message to see if
diff --git a/t/t9001-send-email.sh b/t/t9001-send-email.sh
index 24f6c76aee..e7ab645a3d 100755
--- a/t/t9001-send-email.sh
+++ b/t/t9001-send-email.sh
@@ -1649,7 +1649,9 @@ test_expect_success $PREREQ 'To headers from files reset each patch' '
 '
 
 test_expect_success $PREREQ 'setup expect' '
-cat >email-using-8bit <<\EOF
+# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+# that contain multibyte chars.
+cat >email-using-8bit <<EOF
 From fe6ecc66ece37198fe5db91fa2fc41d9f4fe5cc4 Mon Sep 17 00:00:00 2001
 Message-ID: <bogus-message-id@example.com>
 From: author@example.com
@@ -1735,7 +1737,9 @@ test_expect_success $PREREQ '--8bit-encoding overrides sendemail.8bitEncoding' '
 '
 
 test_expect_success $PREREQ 'setup expect' '
-	cat >email-using-8bit <<-\EOF
+	# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+	# that contain multibyte chars.
+	cat >email-using-8bit <<-EOF
 	From fe6ecc66ece37198fe5db91fa2fc41d9f4fe5cc4 Mon Sep 17 00:00:00 2001
 	Message-ID: <bogus-message-id@example.com>
 	From: author@example.com
@@ -1764,7 +1768,9 @@ test_expect_success $PREREQ '--8bit-encoding also treats subject' '
 '
 
 test_expect_success $PREREQ 'setup expect' '
-	cat >email-using-8bit <<-\EOF
+	# NOTE: do not quote this heredoc, Dash 0.5.13 has a bug with heredocs
+	# that contain multibyte chars.
+	cat >email-using-8bit <<-EOF
 	From fe6ecc66ece37198fe5db91fa2fc41d9f4fe5cc4 Mon Sep 17 00:00:00 2001
 	Message-ID: <bogus-message-id@example.com>
 	From: A U Thor <author@example.com>
diff --git a/t/t9300-fast-import.sh b/t/t9300-fast-import.sh
index 5685cce6fe..479437760b 100755
--- a/t/t9300-fast-import.sh
+++ b/t/t9300-fast-import.sh
@@ -3635,25 +3635,21 @@ background_import_then_checkpoint () {
 		echo "progress checkpoint"
 	) >&8 &
 
-	error=1 ;# assume the worst
-	while read output <&9
-	do
-		if test "$output" = "progress checkpoint"
-		then
-			error=0
-			break
-		elif test "$output" = "UNEXPECTED"
-		then
-			break
-		fi
-		# otherwise ignore cruft
-		echo >&2 "cruft: $output"
-	done
+	last=$(
+		while read output <&9
+		do
+			if test "$output" = "progress checkpoint" || test "$output" = "UNEXPECTED"
+			then
+				echo "$output"
+				break
+			else
+				# otherwise ignore cruft
+				echo >&2 "cruft: $output"
+			fi
+		done
+	)
 
-	if test $error -eq 1
-	then
-		false
-	fi
+	test "$last" = "progress checkpoint"
 }
 
 background_import_still_running () {