The Scottish champions came back twice to draw 3-3 with the Serie A side in the first-leg of the last-32 Europa League tie at Parkhead last week.
Substitute John Guidetti’s injury-time strike kept European hopes alive and the Hoops still have a domestic treble in their sights. However, Celtic have yet to win in 11 visits to Italy and the Parkhead boss admits his side will have to step up a level if they are to break that record tonight (kick-off 6pm, televised on BT Sport 1) and get into the last-16.
Speaking at the San Siro before his side trained, Deila, confident that defender Jason Denayer will have recovered from his calf complaint in time, said: “It is going to be a tough game, of course, and we need to win here.
“But everything is possible in football and if we have our best performance this season and have a little bit of luck, then we have a chance. We have everything to win and we are going to go for that victory and go through.
“We created chances and scored three times last time so we have to get Inter Milan in trouble again but we have to defend in a better way. A lot of the things we did in the last game was good but we have to defend even better.
“If we can get a historic win here then it would be the moment of our lives.”
However Deila warned: “We can’t concede three goals again. Hopefully we have a clean sheet but we have showed we can score a lot of goals and hopefully we can get one more than our opponents.
“I feel we have a good chance because we are in good shape now and we have good confidence.”
For his part, Inter Milan coach Roberto Mancini is hoping his players will be fully focused from start to finish tonight.
“We need maximum concentration for this game,” Mancini said. “The 3-3 result in the first leg gives us a slight advantage. But we need to be fully focused because Celtic is a type of team that never gives up.
“Tomorrow’s match is important. It’s not going to be an easy game and we cannot make any mistakes.
“We’ve had the best possible preparation thanks to our good results.”