diff --git a/scripts/gzip_tests.sh b/scripts/gzip_tests.sh
index c8dcff7..f29dbf8 100755
--- a/scripts/gzip_tests.sh
+++ b/scripts/gzip_tests.sh
@@ -93,6 +93,9 @@ assert_equals() {
 	fi
 }
 
+# Get the filesystem type.
+FSTYPE=$(df -T . | tail -1 | awk '{print $2}')
+
 begin_test 'Basic compression and decompression works'
 cp file orig
 gzip file
@@ -393,12 +396,20 @@ assert_error '\<invalid suffix\>' gunzip -S '""' file
 
 
 begin_test 'Timestamps and mode are preserved'
+if [ "$FSTYPE" = shiftfs ]; then
+	# In Travis CI, the filesystem (shiftfs) only supports seconds precision
+	# timestamps.  Nanosecond precision still sometimes seems to work,
+	# probably due to caching, but it is unreliable.
+	format='%a;%X;%Y'
+else
+	format='%a;%x;%y'
+fi
 chmod 777 file
-orig_stat="$(stat -c '%a;%x;%y' file)"
+orig_stat="$(stat -c "$format" file)"
 gzip file
 sleep 1
 gunzip file.gz
-assert_equals "$orig_stat" "$(stat -c '%a;%x;%y' file)"
+assert_equals "$orig_stat" "$(stat -c "$format" file)"
 
 
 begin_test 'Decompressing multi-member gzip file'