Poyet's side, who suffered a 4-1 defeat to Arsenal in the Premier League on Saturday, take on Manchester City at Wembley next Sunday.
|9/1||Sunderland are 9/1 with William Hill to beat Manchester City|
"Wembley could have been on the players' minds but this was a very good wake-up call," said the Uruguayan.
"No one has put them on the sheet for next week. No one. Everything I had in mind for next week is gone in 90 minutes, gone completely, so we start from zero.
"Sometimes the players pick themselves. Now I have a few options. Maybe there are players pushing."
Sunderland will be looking to win the League Cup for the first time, having previously reached the final on one occasion in 1985.
They face a City side who have scored 19 goals and conceded just once in five games en route to the final.