Wildsmith has impressed in Westwood's absence for Sheffield Wednesday.
Sheffield Wednesday will face Leeds United at the Hillsborough Stadium in the Championship this weekend.
Middlesbrough have submitted a new bid for Kieran Westwood.
Middlesbrough have been linked with Sheffield Wednesday goalkeeper Keiren Westwood in the summer transfer window.
Middlesbrough had a bid rejected for Middlesbrough's Keiren Westwood earlier in the transfer window.
Middlesbrough are believed to be interested in signing Keiren Westwood from Sheffield Wednesday.
Middlesbrough and Sheffield Wednesday are set to battle it out for promotion this season.
Leeds United face Sheffield Wednesday in a crucial Yorkshire derby towards the top of the Championship on Saturday.
Sheffield Wednesday won against Nottingham Forest in the Championship at the weekend.
Sheffield Wednesday look to be in with an excellent chance of qualifying for the Championship play-offs.