The two Scottish giants have enjoyed strong campaigns to date, with the Ibrox club having suffered only a single defeat from their five matches, while the Hoops have responded impressively when they have had their backs against the wall.
So what results exactly do these sides need in order to progress to the last 32? Goal takes a look.
What are the current standings of Rangers and Celtic in the Europa League?
Europa League Group G is the tightest of all the pools, with just two points separating Villarreal in first with Spartak Moscow in fourth. As such, all four teams can qualify and all four have their destiny in their own hands.
Rangers sit third, a point behind Rapid Vienna and the Spanish giants, with the Russians in fourth.
Group B is straightforward, with Red Bull Salzburg the undoubted class act. Last season’s semi-finalists have won all of their five matches and have not only secured their place in the competition in the spring, but top spot in the pool, too.
There has not been a single draw in this group, with Celtic coming next on nine points and RB Leipzig three worse off. Propping up the standings are pointless Rosenborg, who are, of course, eliminated ahead of the final round of matches.
Remaining Europa League Group G fixtures
|December 13||Rapid Vienna vs Rangers||5:55pm|
|December 13||Villareal vs Spartak Moscow||5:55pm|
Remaining Europa League Group B fixtures
|December 13||Celtic vs RB Salzburg||8pm|
|December 13||RB Leipzig vs Rosenborg||8pm|
What results do Rangers need to qualify from their Europa League group?
Rangers will be assured of at least second place if they beat Rapid Vienna on Thursday.
Failure to win at the Allianz Stadion will certainly see Steven Gerrard’s men eliminated.
What results do Celtic need to qualify from their Europa League group?
A win or a draw will ensure Celtic reach the last 32 of the Europa League.
If they were to lose, they would be reliant upon RB Leipzig failing to beat Rosenborg in Germany.
What are the other permutations in the Europa League?
In Group A, Bayer Leverkusen and FC Zurich have already qualified. Leverkusen will top the group if they win against AEK Larnaca but failure to do so will see the door opened for the Swiss if they can overcome Ludogorets.
In Group C, Zenit St Petersburg have already qualified. Slavia Prague will finish second if they can take at least a point at home against the Russians. If they do not, the winner of the match between Bordeaux and Copenhagen will progress. Should that game end drawn, the Czechs will go through.
In Group F, Real Betis will take first spot if they beat eliminated Dudelange. AC Milan can top the group if the Spaniards fail to win in Luxembourg and will qualify with a point against Olympiacos. Even if they lose in Greece, only a 2-0 or 3-1 loss, or any defeat by a three-goal margin or greater, will see them go out.
In Group I, all four teams can qualify. Genk will be assured of a place in the last 32 with a point against Sarpsborg but must win to ensure top spot. Besiktas or Malmo will qualify with a win in Istanbul, while a draw in that game and a Sarpsborg victory in Genk would see the Belgians go out and the Turks take top spot.
In Group J, Krasnodar will qualify if they take a point against Sevilla, who would win the group with a 1-0, 2-1 or two-goal margin victory. Should Sevilla and Standard Liege win, there will be a three-way tie at the top of the pool. Unless the Spaniards won by four goals, the Russians would still progress, albeit in second.
In Group K, Dynamo Kiev are through and will finish first if Astana fail to win in Rennes. The Kazakh side, meanwhile, will go out if they lose to the French club, who would take second spot in that scenario.
In Group L, Chelsea have secured top spot. BATE will take second if they beat PAOK, but lose by two goals and they will be leapfrogged by the Greek side. Indeed, PAOK will qualify in second if they win by three goals and Vidi lose to Chelsea. A two-goal win would still probably be enough, unless Vidi went down in a very high scoring loss, such as 5-3 or 6-4. If PAOK win, however, and Vidi take anything from Stamford Bridge, they will progress.