The demands of the Europa League on clubs are well documented and trying to maintain interest in the domestic cups as well appears a big ask.
But Puel insisted he would be going all out for victory on Wednesday as Southampton prepare to face the Premier League's bottom club.
The Frenchman said: "I will want of course to take this game with serious quality and with all possibilities to win this game and to continue in this competition.
"We play at the moment four competitions and I think it's important to continue this work.
"Of course it's important to consider the possibilities of my players. We have many injuries. It's difficult now to start with a different team. Young players can play also. We will see.
"It's a difficult game because Sunderland will be freer in their minds to prepare for this game without pressure. It's important for us to continue this work, to play at home and to have the good result."