Boro are looking to bounce back from last week's 3-0 defeat at Preston against a Cumbrians side who registered their first victory of the season under caretaker boss Graham Kavanagh.
"They had a good win against Sheffield United, they've had change of manager, and that will give them a boost," said Westley.
"It's a tough fixture but one we've got be looking to win convincingly.
"It's a long journey for them and we have got to show that they have had that long journey.
"If we post three points we can kick ourselves up the table."