diff --git a/Makefile b/Makefile
index 53164b08a..fd124d124 100644
--- a/Makefile
+++ b/Makefile
@@ -99,6 +99,12 @@ valgrind:
             --log-file=/tmp/valgrind-output \
             python3 -m pytest --no-memcheck -vv --valgrind --valgrind-log=/tmp/valgrind-output
 
+.PHONY: valgrind-leak
+valgrind-leak:
+	PYTHONMALLOC=malloc valgrind --suppressions=Tests/oss-fuzz/python.supp --leak-check=full --show-leak-kinds=definite --errors-for-leak-kinds=definite \
+            --log-file=/tmp/valgrind-output \
+            python3 -m pytest -vv --valgrind --valgrind-log=/tmp/valgrind-output Tests/
+
 .PHONY: readme
 readme:
 	python3 -c "import markdown2" > /dev/null 2>&1 || python3 -m pip install markdown2
diff --git a/Tests/oss-fuzz/python.supp b/Tests/oss-fuzz/python.supp
index 36385d672..1ea2a8eb5 100644
--- a/Tests/oss-fuzz/python.supp
+++ b/Tests/oss-fuzz/python.supp
@@ -14,3 +14,23 @@
    fun:_TIFFReadEncodedTileAndAllocBuffer
    ...
 }
+
+{
+   <python_alloc_possible_leak>
+   Memcheck:Leak
+   match-leak-kinds: possible
+   fun:malloc
+   fun:_PyMem_RawMalloc
+   fun:PyObject_Malloc
+   ...
+}
+
+{
+   <python_realloc_possible_leak>
+   Memcheck:Leak
+   match-leak-kinds: possible
+   fun:malloc
+   fun:_PyMem_RawRealloc
+   fun:PyMem_Realloc
+   ...
+}