diff --git a/Cargo.lock b/Cargo.lock
index 942f8f43935bd..807adb59d4f3b 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -1548,16 +1548,14 @@ dependencies = [
 
 [[package]]
 name = "html5ever"
-version = "0.27.0"
+version = "0.29.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c13771afe0e6e846f1e67d038d4cb29998a6779f93c809212e4e9c32efd244d4"
+checksum = "9b958f80f0fde8601dc6c08685adc743eecaa046181cebd5a57551468dfc2ddc"
 dependencies = [
  "log",
  "mac",
  "markup5ever",
- "proc-macro2",
- "quote",
- "syn 2.0.96",
+ "match_token",
 ]
 
 [[package]]
@@ -2023,7 +2021,7 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "fc2f4eb4bc735547cfed7c0a4922cbd04a4655978c09b54f1f7b228750664c34"
 dependencies = [
  "cfg-if",
- "windows-targets 0.52.6",
+ "windows-targets 0.48.5",
 ]
 
 [[package]]
@@ -2134,9 +2132,9 @@ checksum = "c41e0c4fef86961ac6d6f8a82609f55f31b05e4fce149ac5710e439df7619ba4"
 
 [[package]]
 name = "markup5ever"
-version = "0.12.1"
+version = "0.15.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "16ce3abbeba692c8b8441d036ef91aea6df8da2c6b6e21c7e14d3c18e526be45"
+checksum = "03a7b81dfb91586d0677086d40a6d755070e0799b71bb897485bac408dfd5c69"
 dependencies = [
  "log",
  "phf",
@@ -2146,6 +2144,17 @@ dependencies = [
  "tendril",
 ]
 
+[[package]]
+name = "match_token"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "88a9689d8d44bf9964484516275f5cd4c9b59457a6940c1d5d0ecbb94510a36b"
+dependencies = [
+ "proc-macro2",
+ "quote",
+ "syn 2.0.96",
+]
+
 [[package]]
 name = "matchers"
 version = "0.1.0"
@@ -2628,7 +2637,7 @@ version = "0.11.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1fd6780a80ae0c52cc120a26a1a42c1ae51b247a253e4e06113d23d2c2edd078"
 dependencies = [
- "phf_shared 0.11.3",
+ "phf_shared",
 ]
 
 [[package]]
@@ -2637,18 +2646,8 @@ version = "0.11.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "aef8048c789fa5e851558d709946d6d79a8ff88c0440c587967f8e94bfb1216a"
 dependencies = [
- "phf_generator 0.11.3",
- "phf_shared 0.11.3",
-]
-
-[[package]]
-name = "phf_generator"
-version = "0.10.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5d5285893bb5eb82e6aaf5d59ee909a06a16737a8970984dd7746ba9283498d6"
-dependencies = [
- "phf_shared 0.10.0",
- "rand 0.8.5",
+ "phf_generator",
+ "phf_shared",
 ]
 
 [[package]]
@@ -2657,26 +2656,17 @@ version = "0.11.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "3c80231409c20246a13fddb31776fb942c38553c51e871f8cbd687a4cfb5843d"
 dependencies = [
- "phf_shared 0.11.3",
+ "phf_shared",
  "rand 0.8.5",
 ]
 
-[[package]]
-name = "phf_shared"
-version = "0.10.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "b6796ad771acdc0123d2a88dc428b5e38ef24456743ddb1744ed628f9815c096"
-dependencies = [
- "siphasher 0.3.11",
-]
-
 [[package]]
 name = "phf_shared"
 version = "0.11.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "67eabc2ef2a60eb7faa00097bd1ffdb5bd28e62bf39990626a582201b7a754e5"
 dependencies = [
- "siphasher 1.0.1",
+ "siphasher",
 ]
 
 [[package]]
@@ -4869,12 +4859,6 @@ version = "2.6.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1de1d4f81173b03af4c0cbed3c898f6bff5b870e4a7f5d6f4057d62a7a4b686e"
 
-[[package]]
-name = "siphasher"
-version = "0.3.11"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "38b58827f4464d87d377d175e90bf58eb00fd8716ff0a62f80356b5e61555d0d"
-
 [[package]]
 name = "siphasher"
 version = "1.0.1"
@@ -4989,26 +4973,25 @@ checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f"
 
 [[package]]
 name = "string_cache"
-version = "0.8.7"
+version = "0.8.8"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f91138e76242f575eb1d3b38b4f1362f10d3a43f47d182a5b359af488a02293b"
+checksum = "938d512196766101d333398efde81bc1f37b00cb42c2f8350e5df639f040bbbe"
 dependencies = [
  "new_debug_unreachable",
- "once_cell",
  "parking_lot",
- "phf_shared 0.10.0",
+ "phf_shared",
  "precomputed-hash",
  "serde",
 ]
 
 [[package]]
 name = "string_cache_codegen"
-version = "0.5.2"
+version = "0.5.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6bb30289b722be4ff74a408c3cc27edeaad656e06cb1fe8fa9231fa59c728988"
+checksum = "c711928715f1fe0fe509c53b43e993a9a557babc2d0a3567d0a3006f1ac931a0"
 dependencies = [
- "phf_generator 0.10.0",
- "phf_shared 0.10.0",
+ "phf_generator",
+ "phf_shared",
  "proc-macro2",
  "quote",
 ]
diff --git a/src/tools/linkchecker/Cargo.toml b/src/tools/linkchecker/Cargo.toml
index f1be6e9e749d4..7123d43eb564c 100644
--- a/src/tools/linkchecker/Cargo.toml
+++ b/src/tools/linkchecker/Cargo.toml
@@ -9,4 +9,4 @@ path = "main.rs"
 
 [dependencies]
 regex = "1"
-html5ever = "0.27.0"
+html5ever = "0.29.0"
diff --git a/src/tools/linkchecker/main.rs b/src/tools/linkchecker/main.rs
index 19340b5d07a11..84cba3f8c4473 100644
--- a/src/tools/linkchecker/main.rs
+++ b/src/tools/linkchecker/main.rs
@@ -16,7 +16,7 @@
 //! A few exceptions are allowed as there's known bugs in rustdoc, but this
 //! should catch the majority of "broken link" cases.
 
-use std::cell::RefCell;
+use std::cell::{Cell, RefCell};
 use std::collections::{HashMap, HashSet};
 use std::io::ErrorKind;
 use std::path::{Component, Path, PathBuf};
@@ -544,7 +544,7 @@ fn parse_html<Sink: TokenSink>(source: &str, sink: Sink) -> Sink {
     let mut input = BufferQueue::default();
     input.push_back(tendril.try_reinterpret().unwrap());
 
-    let mut tok = Tokenizer::new(sink, TokenizerOpts::default());
+    let tok = Tokenizer::new(sink, TokenizerOpts::default());
     let _ = tok.feed(&mut input);
     assert!(input.is_empty());
     tok.end();
@@ -554,8 +554,8 @@ fn parse_html<Sink: TokenSink>(source: &str, sink: Sink) -> Sink {
 #[derive(Default)]
 struct AttrCollector {
     attr_name: &'static [u8],
-    base: Option<String>,
-    found_attrs: Vec<(u64, String)>,
+    base: Cell<Option<String>>,
+    found_attrs: RefCell<Vec<(u64, String)>>,
     /// Tracks whether or not it is inside a <script> tag.
     ///
     /// A lot of our sources have JSON script tags which have HTML embedded
@@ -564,13 +564,13 @@ struct AttrCollector {
     /// `TokenSinkResult::Script(…)` (and then maybe switch parser?), but I
     /// don't fully understand the best way to use that, and this seems good
     /// enough for now.
-    in_script: bool,
+    in_script: Cell<bool>,
 }
 
 impl TokenSink for AttrCollector {
     type Handle = ();
 
-    fn process_token(&mut self, token: Token, line_number: u64) -> TokenSinkResult<()> {
+    fn process_token(&self, token: Token, line_number: u64) -> TokenSinkResult<()> {
         match token {
             TagToken(tag) => {
                 let tag_name = tag.name.as_bytes();
@@ -578,20 +578,20 @@ impl TokenSink for AttrCollector {
                     if let Some(href) =
                         tag.attrs.iter().find(|attr| attr.name.local.as_bytes() == b"href")
                     {
-                        self.base = Some(href.value.to_string());
+                        self.base.set(Some(href.value.to_string()));
                     }
                     return TokenSinkResult::Continue;
                 } else if tag_name == b"script" {
-                    self.in_script = !self.in_script;
+                    self.in_script.set(!self.in_script.get());
                 }
-                if self.in_script {
+                if self.in_script.get() {
                     return TokenSinkResult::Continue;
                 }
                 for attr in tag.attrs.iter() {
                     let name = attr.name.local.as_bytes();
                     if name == self.attr_name {
                         let url = attr.value.to_string();
-                        self.found_attrs.push((line_number, url));
+                        self.found_attrs.borrow_mut().push((line_number, url));
                     }
                 }
             }
@@ -607,7 +607,7 @@ impl TokenSink for AttrCollector {
 fn get_urls(source: &str) -> (Option<String>, Vec<(u64, String)>) {
     let collector = AttrCollector { attr_name: b"href", ..AttrCollector::default() };
     let sink = parse_html(source, collector);
-    (sink.base, sink.found_attrs)
+    (sink.base.into_inner(), sink.found_attrs.into_inner())
 }
 
 /// Retrieves id="..." attributes from HTML elements.
@@ -619,7 +619,7 @@ fn parse_ids(ids: &mut HashSet<String>, file: &str, source: &str, report: &mut R
 
     let collector = AttrCollector { attr_name: b"id", ..AttrCollector::default() };
     let sink = parse_html(source, collector);
-    for (line_number, id) in sink.found_attrs {
+    for (line_number, id) in sink.found_attrs.into_inner() {
         let encoded = small_url_encode(&id);
         if let Some(id) = ids.replace(id) {
             report.errors += 1;