The Irishman looks set to leave on a free transfer at the end of the season, a factor which may prove the catalyst for the Sky Blues cashing in while they still can.
Boothroyd insists that he remains in the dark over Westwood's future at the Ricoh Arena, however.
"Wigan haven't been in touch," he told the Coventry Telegraph.
"[Wigan boss] Roberto Martinez has got my number and I'm sure that if he's going to make any moves he'll let me know first because he's a decent guy."
Wigan are in the hunt for a new goalkeeper and Westwood may represent the best value for money on the market.
The Latics could alternatively choose to make Ali Al Habsi's loan move from Bolton permanent after a series of impressive displays deputising for the injury-prone Chris Kirkland, but they will probably face opposition from the player's parent club.