Romelu Lukaku’s hat-trick and a Seamus Coleman strike stunned the Swiss team last week as Everton put their domestic struggles behind them.
Roberto Martinez’s men have won just one of their last eight matches in the Premier League and sit just six points above the relegation zone.
However, in Europe they have been strong, finishing top of their group, including beating German giants Wolfsburg by an aggregate score of 6-1 over two games.
Although the task awaiting Young Boys to qualify looks seriously tough, they would have taken confidence from beating title rivals Basel 4-2 on Sunday.
Leon Osman and Steven Pienaar could return to the starting line-up for Everton.
The duo have not appeared for the first team since December but both played a part in the Under-21s’ goalless draw against Manchester United last week.
Aiden McGeady (knee), Bryan Oviedo (hamstring), Tony Hibbert (muscle), John Stones (suspended) and Aaron Lennon (ineligible) are all ruled out.
Everton have won 10 of their last 15 home games in European competition (including qualifiers), drawing two and losing three.
Young Boys have never previously progressed past this stage of the Europa League.
Guillaume Hoarau has scored six goals in his seven Europa League appearances this season.
Everton are odds-on to secure their progress with a win, with Sky Bet making them 7/10 favourites to Young Boys’ price of 15/4. The Swiss outfit are 33/1 to overturn the first-leg deficit to qualify and 150/1 to take the tie to extra-time with a 4-1 win of their own.
Martinez’s men were cut from 20/1 to 14/1 to win the competition following their first-leg victory, making them joint fifth favourites in a wide-open outright market.