diff --git a/git-zlib.c b/git-zlib.c
index b91cb323ae..3a91fe7670 100644
--- a/git-zlib.c
+++ b/git-zlib.c
@@ -162,9 +162,21 @@ int git_inflate(git_zstream *strm, int flush)
 	return status;
 }
 
-unsigned long git_deflate_bound(git_zstream *strm, unsigned long size)
+size_t git_deflate_bound(git_zstream *strm, size_t size)
 {
-	return deflateBound(&strm->z, size);
+#if SIZE_MAX > ULONG_MAX
+	if (size > maximum_unsigned_value_of_type(uLong))
+		/*
+		 * deflateBound() takes uLong, which is 32-bit on
+		 * Windows. For inputs above that range, return zlib's
+		 * stored-block formula (the conservative path it would
+		 * itself use for an unknown stream state) plus the
+		 * worst-case wrapper overhead.
+		 */
+		return size + (size >> 5) + (size >> 7) + (size >> 11)
+			+ 7 + 18;
+#endif
+	return deflateBound(&strm->z, (uLong)size);
 }
 
 void git_deflate_init(git_zstream *strm, int level)
diff --git a/git-zlib.h b/git-zlib.h
index 0b24b15bd0..9248d11ca9 100644
--- a/git-zlib.h
+++ b/git-zlib.h
@@ -25,6 +25,6 @@ void git_deflate_end(git_zstream *);
 int git_deflate_abort(git_zstream *);
 int git_deflate_end_gently(git_zstream *);
 int git_deflate(git_zstream *, int flush);
-unsigned long git_deflate_bound(git_zstream *, unsigned long);
+size_t git_deflate_bound(git_zstream *, size_t);
 
 #endif /* GIT_ZLIB_H */