Inter Milan booked their place in the last 16 with the win over the Dutch side.
“It is always important to win,” the Spaniard told Sky Sport Italia.
“If a Coach is having problems, then the team and the club are also having problems. This side played very well at the start of the season, then the injuries came and it’s not easy to work.
“Tonight we saw the team wanted to win and after Esteban Cambiasso’s goal we went looking for a second. That is the right character I wanted to see.
“In the first half we had some chances, then Twente proved dangerous on the counter-attack. We did better after the break.”
“Sneijder and Goran Pandev did great work against the Twente centre-backs,” insisted Benitez.
“As for Samuel Eto’o, he starts from the left flank because he has proved that he can score even when starting from there.”
He added: “Ivan Cordoba and Materazzi did great work. Now that Stankovic and Materazzi are back, it will really help our midfield.”