diff --git a/news/6364.bugfix b/news/6364.bugfix
new file mode 100644
index 00000000000..4a659751f6e
--- /dev/null
+++ b/news/6364.bugfix
@@ -0,0 +1 @@
+Correctly set executable permissions in cases where /tmp is mounted 'noexec.'
diff --git a/src/pip/_internal/operations/install/wheel.py b/src/pip/_internal/operations/install/wheel.py
index b1a76a24ce2..d181ef1c9f2 100644
--- a/src/pip/_internal/operations/install/wheel.py
+++ b/src/pip/_internal/operations/install/wheel.py
@@ -398,9 +398,13 @@ def clobber(
                     os.utime(destfile, (st.st_atime, st.st_mtime))
 
                 # If our file is executable, then make our destination file
-                # executable.
-                if os.access(srcfile, os.X_OK):
-                    st = os.stat(srcfile)
+                # executable.  Account for cases where the tmpdir
+                # is mounted 'noexec'; we make the destination executable
+                # if any -x flags are set on srcfile rather than using
+                # os.access(), which will always return False if srcfile
+                # is in a directory mounted 'noexec.'
+                st = os.stat(srcfile)
+                if st.st_mode & (stat.S_IXUSR | stat.S_IXGRP | stat.S_IXOTH):
                     permissions = (
                         st.st_mode | stat.S_IXUSR | stat.S_IXGRP | stat.S_IXOTH
                     )