diff --git a/lib/rouge/lexers/rust.rb b/lib/rouge/lexers/rust.rb
index 4f0aa8ffef..d11659242b 100644
--- a/lib/rouge/lexers/rust.rb
+++ b/lib/rouge/lexers/rust.rb
@@ -253,6 +253,7 @@ def macro_closed?
       state :string do
         rule %r/"/, Str, :pop!
         rule escapes, Str::Escape
+        rule %r/\\\n[ \t\r\n]*/, Str::Escape
         rule %r/[^"\\]+/m, Str
       end
     end
diff --git a/spec/visual/samples/rust b/spec/visual/samples/rust
index 78d5d6b035..d046cce07f 100644
--- a/spec/visual/samples/rust
+++ b/spec/visual/samples/rust
@@ -38,6 +38,9 @@ println!(r###"r##"r#""#"##"###);
 println!(r#"
   "New line in a raw string"
 "#);
+println!("String continuation\
+
+    escape");
 
 trait Iterable<A> {
     fn iterate(&self, blk: impl FnMut(&A) -> bool);