The Nationwide League said of Jensen: "This great Dane gave a Man of the Match performance in a game littered with chances, foiling Sunderland time and again to help his team snatch a valuable 1-1 draw at the Stadium of Light.
"A free signing from West Brom in the summer, the 28 year-old has been an ever-present in both the League and Carling Cup for the Clarets this season – and they were grateful for his presence on Saturday."
The full team was selected from eleven different clubs this week and is:
Brian Jensen (Burnley), George Santos (Ipswich), Neil Cox (Watford), Chris Swailes (Rotherham), Youl Mawene (Derby), Jason Koumas (West Brom), Stuart McCall (Sheffield United), Youssef Safri (Coventry), Michael Carrick (West Ham), Mamady Sidibe (Gillingham), Paul McVeigh (Norwich).