diff --git a/CHANGES.rst b/CHANGES.rst
index aef28f3fa..c5a71ee87 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -24,7 +24,8 @@ want to know what's different in 5.0 since 4.5.x, see :ref:`whatsnew5x`.
 Unreleased
 ----------
 
-Nothing yet.
+- Fix another rarer instance of "Error binding parameter 0 - probably
+  unsupported type." (`issue 1010`_).
 
 
 .. _changes_60b1:
diff --git a/coverage/sqldata.py b/coverage/sqldata.py
index b2133026e..db3ab73ac 100644
--- a/coverage/sqldata.py
+++ b/coverage/sqldata.py
@@ -1119,7 +1119,13 @@ def executemany(self, sql, data):
         if self.debug:
             data = list(data)
             self.debug.write(f"Executing many {sql!r} with {len(data)} rows")
-        return self.con.executemany(sql, data)
+        try:
+            return self.con.executemany(sql, data)
+        except Exception:
+            # In some cases, an error might happen that isn't really an
+            # error.  Try again immediately.
+            # https://github.com/nedbat/coveragepy/issues/1010
+            return self.con.executemany(sql, data)
 
     def executescript(self, script):
         """Same as :meth:`python:sqlite3.Connection.executescript`."""