diff --git a/t/chainlint.sed b/t/chainlint.sed
index c80d2fad7a..70df40e34b 100644
--- a/t/chainlint.sed
+++ b/t/chainlint.sed
@@ -94,8 +94,8 @@
 
 # here-doc -- swallow it to avoid false hits within its body (but keep the
 # command to which it was attached)
-/<<[ 	]*[-\\']*[A-Za-z0-9_]/ {
-	s/^\(.*\)<<[ 	]*[-\\']*\([A-Za-z0-9_][A-Za-z0-9_]*\)'*/<\2>\1<</
+/<<[ 	]*[-\\'"]*[A-Za-z0-9_]/ {
+	s/^\(.*\)<<[ 	]*[-\\'"]*\([A-Za-z0-9_][A-Za-z0-9_]*\)['"]*/<\2>\1<</
 	s/[ 	]*<<//
 	:hered
 	N
@@ -158,7 +158,7 @@ s/.*\n//
 }
 :folded
 # here-doc -- swallow it
-/<<[ 	]*[-\\']*[A-Za-z0-9_]/bheredoc
+/<<[ 	]*[-\\'"]*[A-Za-z0-9_]/bheredoc
 # comment or empty line -- discard since final non-comment, non-empty line
 # before closing ")", "done", "elsif", "else", or "fi" will need to be
 # re-visited to drop "suspect" marking since final line of those constructs
@@ -280,7 +280,7 @@ bfolded
 # found here-doc -- swallow it to avoid false hits within its body (but keep
 # the command to which it was attached)
 :heredoc
-s/^\(.*\)<<[ 	]*[-\\']*\([A-Za-z0-9_][A-Za-z0-9_]*\)'*/<\2>\1<</
+s/^\(.*\)<<[ 	]*[-\\'"]*\([A-Za-z0-9_][A-Za-z0-9_]*\)['"]*/<\2>\1<</
 s/[ 	]*<<//
 :heredsub
 N
diff --git a/t/chainlint/here-doc.expect b/t/chainlint/here-doc.expect
index aff6568716..534b065e38 100644
--- a/t/chainlint/here-doc.expect
+++ b/t/chainlint/here-doc.expect
@@ -4,4 +4,6 @@ cat >foo &&
 
 cat >bar &&
 
+cat >boo &&
+
 horticulture
diff --git a/t/chainlint/here-doc.test b/t/chainlint/here-doc.test
index f2bb14b693..ad4ce8afd9 100644
--- a/t/chainlint/here-doc.test
+++ b/t/chainlint/here-doc.test
@@ -21,6 +21,13 @@ boz
 woz
 FUMP
 
+# LINT: swallow "quoted" here-doc
+cat <<"zump" >boo &&
+snoz
+boz
+woz
+zump
+
 # LINT: swallow here-doc (EOF is last line of test)
 horticulture <<\EOF
 gomez
diff --git a/t/chainlint/subshell-here-doc.expect b/t/chainlint/subshell-here-doc.expect
index 7663ea7fc4..74723e7340 100644
--- a/t/chainlint/subshell-here-doc.expect
+++ b/t/chainlint/subshell-here-doc.expect
@@ -6,5 +6,6 @@
 (
 	cat >bup &&
 	cat >bup2 &&
+	cat >bup3 &&
 	meep
 >)
diff --git a/t/chainlint/subshell-here-doc.test b/t/chainlint/subshell-here-doc.test
index b6b5a9b33a..f6b3ba4214 100644
--- a/t/chainlint/subshell-here-doc.test
+++ b/t/chainlint/subshell-here-doc.test
@@ -31,5 +31,9 @@
 	glink
 	FIZZ
 	ARBITRARY2
+	cat <<-"ARBITRARY3" >bup3 &&
+	glink
+	FIZZ
+	ARBITRARY3
 	meep
 )