diff --git a/lib/md033.js b/lib/md033.js
index 6d0a2e0e..dbe14d76 100644
--- a/lib/md033.js
+++ b/lib/md033.js
@@ -2,8 +2,7 @@
 
 "use strict";
 
-const { addError, bareUrlRe, forEachLine, unescapeMarkdown } =
-  require("../helpers");
+const { addError, forEachLine, unescapeMarkdown } = require("../helpers");
 const { lineMetadata } = require("./cache");
 
 const htmlElementRe = /<(([A-Za-z][A-Za-z0-9-]*)(?:\s[^>]*)?)\/?>/g;
@@ -24,10 +23,10 @@ module.exports = {
     forEachLine(lineMetadata(), (line, lineIndex, inCode) => {
       let match = null;
       // eslint-disable-next-line no-unmodified-loop-condition
-      while (!inCode && (match = htmlElementRe.exec(line))) {
+      while (!inCode && ((match = htmlElementRe.exec(line)) !== null)) {
         const [ tag, content, element ] = match;
         if (!allowedElements.includes(element.toLowerCase()) &&
-          !tag.endsWith("\\>") && !bareUrlRe.test(content) &&
+          !tag.endsWith("\\>") &&
           !emailAddressRe.test(content)) {
           const prefix = line.substring(0, match.index);
           if (!linkDestinationRe.test(prefix) && !inlineCodeRe.test(prefix)) {
diff --git a/lib/md044.js b/lib/md044.js
index ff0974a5..181f20cf 100644
--- a/lib/md044.js
+++ b/lib/md044.js
@@ -24,7 +24,7 @@ module.exports = {
             let match = null;
             while ((match = anyNameRe.exec(line)) !== null) {
               const fullMatch = match[0];
-              if (!bareUrlRe.test(fullMatch)) {
+              if (fullMatch.search(bareUrlRe) === -1) {
                 const wordMatch = fullMatch
                   .replace(/^\W*/, "").replace(/\W*$/, "");
                 if (!names.includes(wordMatch)) {
diff --git a/test/proper-names-urls.json b/test/proper-names-urls.json
new file mode 100644
index 00000000..7852d907
--- /dev/null
+++ b/test/proper-names-urls.json
@@ -0,0 +1,14 @@
+{
+  "default": true,
+  "proper-names": {
+    "names": [
+      "HTTPS",
+      "EXAMPLE",
+      "COM",
+      "DIRECTORY",
+      "FILE"
+    ]
+  },
+  "no-bare-urls": false,
+  "code-block-style": false
+}
diff --git a/test/proper-names-urls.md b/test/proper-names-urls.md
new file mode 100644
index 00000000..0522e9d1
--- /dev/null
+++ b/test/proper-names-urls.md
@@ -0,0 +1,33 @@
+# Proper Names in URLs
+
+Text https text {MD044}
+Text example text {MD044}
+Text com text {MD044}
+Text directory text {MD044}
+Text file text {MD044}
+Text HTTPS EXAMPLE COM DIRECTORY FILE text
+
+> The following lines are deliberately duplicated
+
+Text https://example.com/directory/file text
+
+Text https://example.com/directory/file text
+
+Text <https://example.com/directory/file> text
+
+Text <https://example.com/directory/file> text
+
+Text [https://example.com/directory/file](https://example.com/directory/file) text
+
+Text [https://example.com/directory/file](https://example.com/directory/file) text
+
+Text `https://example.com/directory/file` text
+Text `https://example.com/directory/file` text
+
+```text
+Text https://example.com/directory/file text
+Text https://example.com/directory/file text
+```
+
+    Text https://example.com/directory/file text
+    Text https://example.com/directory/file text