diff --git a/changes/bug21472 b/changes/bug21472
new file mode 100644
index 000000000..f31ec9157
--- /dev/null
+++ b/changes/bug21472
@@ -0,0 +1,3 @@
+  o Documentation:
+    - Small fixes to the fuzzing documentation. Closes ticket
+      21472.
diff --git a/doc/HACKING/Fuzzing.md b/doc/HACKING/Fuzzing.md
index 16b0b6b00..2039d6a4c 100644
--- a/doc/HACKING/Fuzzing.md
+++ b/doc/HACKING/Fuzzing.md
@@ -64,14 +64,14 @@ To Build:
   make
   cd ../tor
   PATH=$PATH:../afl/ CC="../afl/afl-gcc" ./configure --enable-expensive-hardening
-  AFL_HARDEN=1 make clean fuzz
+  AFL_HARDEN=1 make clean fuzzers
 
 To Find The ASAN Memory Limit: (64-bit only)
 
-On 64-bit platforms, afl needs to know how much memory ASAN uses.
-Or, you can configure tor without --enable-expensive-hardening, then use
-  make fuzz
-to run the generated test cases through an ASAN-enabled fuzz-http.
+On 64-bit platforms, afl needs to know how much memory ASAN uses,
+because ASAN tends to allocate a ridiculous amount of virtual memory,
+and then not actually use it.
+
 Read afl/docs/notes_for_asan.txt for more details.
 
   Download recidivm from http://jwilk.net/software/recidivm
@@ -80,7 +80,7 @@ Read afl/docs/notes_for_asan.txt for more details.
   tar xvzf recidivm*.tar.gz
   cd recidivm*
   make
-  /path/to/recidivm -v src/test/fuzz_dir
+  /path/to/recidivm -v src/test/fuzz/fuzz-http
   Use the final "ok" figure as the input to -m when calling afl-fuzz
   (Normally, recidivm would output a figure automatically, but in some cases,
   the fuzzing harness will hang when the memory limit is too small.)