diff --git a/rest_framework/pagination.py b/rest_framework/pagination.py
index d8793f693..7fe8559c5 100644
--- a/rest_framework/pagination.py
+++ b/rest_framework/pagination.py
@@ -540,7 +540,7 @@ class CursorPagination(BasePagination):
         if not self.has_next:
             return None
 
-        if self.cursor and self.cursor.reverse and self.cursor.offset != 0:
+        if self.cursor and self.cursor.reverse and self.cursor.offset != 0 and self.page:
             # If we're reversing direction and we have an offset cursor
             # then we cannot use the first position we find as a marker.
             compare = self._get_position_from_instance(self.page[-1], self.ordering)
@@ -588,7 +588,7 @@ class CursorPagination(BasePagination):
         if not self.has_previous:
             return None
 
-        if self.cursor and not self.cursor.reverse and self.cursor.offset != 0:
+        if self.cursor and not self.cursor.reverse and self.cursor.offset != 0 and self.page:
             # If we're reversing direction and we have an offset cursor
             # then we cannot use the first position we find as a marker.
             compare = self._get_position_from_instance(self.page[0], self.ordering)