diff --git a/clippy_lints/src/doc/markdown.rs b/clippy_lints/src/doc/markdown.rs
index d2f14756591..1add02af310 100644
--- a/clippy_lints/src/doc/markdown.rs
+++ b/clippy_lints/src/doc/markdown.rs
@@ -8,7 +8,14 @@
 
 use crate::doc::DOC_MARKDOWN;
 
-pub fn check(cx: &LateContext<'_>, valid_idents: &FxHashSet<String>, text: &str, span: Span, code_level: isize) {
+pub fn check(
+    cx: &LateContext<'_>,
+    valid_idents: &FxHashSet<String>,
+    text: &str,
+    span: Span,
+    code_level: isize,
+    blockquote_level: isize,
+) {
     for orig_word in text.split(|c: char| c.is_whitespace() || c == '\'') {
         // Trim punctuation as in `some comment (see foo::bar).`
         //                                                   ^^
@@ -46,11 +53,11 @@ pub fn check(cx: &LateContext<'_>, valid_idents: &FxHashSet<String>, text: &str,
             span.parent(),
         );
 
-        check_word(cx, word, span, code_level);
+        check_word(cx, word, span, code_level, blockquote_level);
     }
 }
 
-fn check_word(cx: &LateContext<'_>, word: &str, span: Span, code_level: isize) {
+fn check_word(cx: &LateContext<'_>, word: &str, span: Span, code_level: isize, blockquote_level: isize) {
     /// Checks if a string is upper-camel-case, i.e., starts with an uppercase and
     /// contains at least two uppercase letters (`Clippy` is ok) and one lower-case
     /// letter (`NASA` is ok).
@@ -97,7 +104,9 @@ fn has_hyphen(s: &str) -> bool {
     }
 
     // We assume that mixed-case words are not meant to be put inside backticks. (Issue #2343)
-    if code_level > 0 || (has_underscore(word) && has_hyphen(word)) {
+    //
+    // We also assume that backticks are not necessary if inside a quote. (Issue #10262)
+    if code_level > 0 || blockquote_level > 0 || (has_underscore(word) && has_hyphen(word)) {
         return;
     }
 
diff --git a/clippy_lints/src/doc/mod.rs b/clippy_lints/src/doc/mod.rs
index 003d26b7b89..10fc9ef6ecf 100644
--- a/clippy_lints/src/doc/mod.rs
+++ b/clippy_lints/src/doc/mod.rs
@@ -7,7 +7,7 @@
 use pulldown_cmark::Event::{
     Code, End, FootnoteReference, HardBreak, Html, Rule, SoftBreak, Start, TaskListMarker, Text,
 };
-use pulldown_cmark::Tag::{CodeBlock, Heading, Item, Link, Paragraph};
+use pulldown_cmark::Tag::{BlockQuote, CodeBlock, Heading, Item, Link, Paragraph};
 use pulldown_cmark::{BrokenLink, CodeBlockKind, CowStr, Options};
 use rustc_ast::ast::Attribute;
 use rustc_data_structures::fx::FxHashSet;
@@ -602,6 +602,7 @@ fn check_doc<'a, Events: Iterator<Item = (pulldown_cmark::Event<'a>, Range<usize
     let mut text_to_check: Vec<(CowStr<'_>, Range<usize>, isize)> = Vec::new();
     let mut paragraph_range = 0..0;
     let mut code_level = 0;
+    let mut blockquote_level = 0;
 
     for (event, range) in events {
         match event {
@@ -612,6 +613,8 @@ fn check_doc<'a, Events: Iterator<Item = (pulldown_cmark::Event<'a>, Range<usize
                     code_level -= 1;
                 }
             },
+            Start(BlockQuote) => blockquote_level += 1,
+            End(BlockQuote) => blockquote_level -= 1,
             Start(CodeBlock(ref kind)) => {
                 in_code = true;
                 if let CodeBlockKind::Fenced(lang) = kind {
@@ -663,7 +666,7 @@ fn check_doc<'a, Events: Iterator<Item = (pulldown_cmark::Event<'a>, Range<usize
                 } else {
                     for (text, range, assoc_code_level) in text_to_check {
                         if let Some(span) = fragments.span(cx, range) {
-                            markdown::check(cx, valid_idents, &text, span, assoc_code_level);
+                            markdown::check(cx, valid_idents, &text, span, assoc_code_level, blockquote_level);
                         }
                     }
                 }