diff --git a/src/read.rs b/src/read.rs
index b9b8247b..b3d5897a 100644
--- a/src/read.rs
+++ b/src/read.rs
@@ -8,7 +8,7 @@ use crate::crc32::Crc32Reader;
 use crate::extra_fields::{ExtendedTimestamp, ExtraField};
 use crate::read::zip_archive::{Shared, SharedBuilder};
 use crate::result::{ZipError, ZipResult};
-use crate::spec::{self, FixedSizeBlock, Zip32CentralDirectoryEnd};
+use crate::spec::{self, FixedSizeBlock, Zip32CentralDirectoryEnd, ZIP64_ENTRY_THR};
 use crate::types::{
     AesMode, AesVendorVersion, DateTime, System, ZipCentralEntryBlock, ZipFileData,
     ZipLocalEntryBlock,
@@ -772,7 +772,8 @@ impl<R: Read + Seek> ZipArchive<R> {
             }
             Err(e) => invalid_errors.push(e),
             Ok(o) => {
-                if o.files.len() >= footer.number_of_files as usize {
+                if o.files.len() == footer.number_of_files as usize
+                        || footer.number_of_files == ZIP64_ENTRY_THR as u16 {
                     ok_results.push((footer.clone(), o))
                 } else {
                     invalid_errors.push(InvalidArchive("wrong number of files"))