The Bianconeri go into Thursday night's match against Barclays Premier League side Fulham with a 3-1 lead from the first leg in Turin.
Del Piero was absent from that match but is expected to face the Cottagers tomorrow after scoring twice in Juve's 3-3 draw with Siena on Sunday.
The Juventus striker has not featured for the Azzurri since Euro 2008 and Italy manager Marcello Lippi has not given any indication he will take the striker to South Africa, where Italy will be among the favourites to win the tournament.
That has not put Del Piero off though, and he is keen to send Lippi a message by sealing Fulham's fate at Craven Cottage on Thursday night.
"I'm still very hopeful of making the squad," said the 35-year-old. "I know that Lippi has not chosen the squad yet so there are still chances for me.
"I'm really hopeful about it and I believe that a match like tomorrow gives me a good chance of trying to achieve that."
Juve lost ground in their hunt for a Champions League place by throwing away a 3-0 lead to draw 3-3 with Serie A's bottom side Siena on Sunday.
Del Piero has warned his team-mates that they cannot afford a similar lapse in concentration on Thursday night.
"We analysed that match the day after with the coach and he made several points that we have to work on," said Del Piero.
"There are lots of areas we can improve and the message was clear: we have to learn and take full concentration regardless of results, whether we are losing or not, so we don't have these kinds of results in the future."
Juventus have lost only once since Alberto Zaccheroni took over from Ciro Ferrara as manager in January.
They are still one point behind Palermo in the race for a Champions League place though and Zaccheroni admits he will rest some of his players tomorrow ahead of their match against sixth place Sampdoria on Sunday.
He denies that this means he is taking the competition lightly, however, and braced his side for a tough test against Roy Hodgson's team.
"I respect Fulham more than I fear them but they have performed well in the league so far and have either the fifth or sixth best defence in the Premier League so we have to respect that," the 56-year-old said.
"They have a manager who knows a lot about football and knows how to put a good team on the pitch.
"I also want to stress that we really want to progress in the Europa League. In our position we can't look too far ahead but we really want to get through this tie."
Giorgio Chiellini, Martin Caceres, Claudio Marchisio, Amauri and Michele Paolucci are all injured for tomorrow's match while the man who scored Juve's opener last week - Nicola Legrottaglie - is suspended.
Zaccheroni will have to choose between goalkeepers Antonio Chimenti and Carlo Pinsoglio as he is also without Gianluigi Buffon and Alex Manninger.
Zaccheroni admits he will be taking a massive gamble if he elects to hand 20-year-old Pinsoglio his debut tomorrow.
"You know him better than I do," said Zaccheroni.
"I have never seen him playing in Serie A and I have never seen him in the youth team.
"All I have seen of him has been in training but from what I have seen of him he will have a bright future."
Del Piero harboursWorld Cup hope
